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121022101001010 = 23511743710969431
BaseRepresentation
bin11011100001000110100111…
…010101110001001100110010
3120212111121012022010122020110
4123201012213111301030302
5111330311230324013020
61105220441412322150
734330362324303366
oct3341064725611462
9525447168118213
10121022101001010
113561a203a802a0
12116a6a88913356
13526b44844b7b1
1421c57028292a6
15ded0e12eb8e0
hex6e11a7571332

121022101001010 has 128 divisors (see below), whose sum is σ = 317333523640320. Its totient is φ = 29294660998400.

The previous prime is 121022101000967. The next prime is 121022101001029. The reversal of 121022101001010 is 10100101220121.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1743020995 + ... + 1743090425.

It is an arithmetic number, because the mean of its divisors is an integer number (2479168153440).

Almost surely, 2121022101001010 is an apocalyptic number.

121022101001010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 121022101001010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158666761820160).

121022101001010 is an abundant number, since it is smaller than the sum of its proper divisors (196311422639310).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

121022101001010 is a wasteful number, since it uses less digits than its factorization.

121022101001010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77304.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 121022101001010 its reverse (10100101220121), we get a palindrome (131122202221131).

The spelling of 121022101001010 in words is "one hundred twenty-one trillion, twenty-two billion, one hundred one million, one thousand, ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 743 1486 2229 3715 4458 7109 7430 8173 11145 14218 16346 21327 22290 24519 35545 40865 42654 49038 69431 71090 78199 81730 106635 122595 138862 156398 208293 213270 234597 245190 347155 390995 416586 469194 694310 763741 781990 1041465 1172985 1527482 2082930 2291223 2345970 3818705 4582446 5281987 7637410 10563974 11456115 15845961 22912230 26409935 31691922 51587233 52819870 58101857 79229805 103174466 116203714 154761699 158459610 174305571 257936165 290509285 309523398 348611142 493584979 515872330 567459563 581018570 773808495 871527855 987169958 1134919126 1480754937 1547616990 1702378689 1743055710 2467924895 2837297815 2961509874 3404757378 4935849790 5429434769 5674595630 7403774685 8511893445 10858869538 14807549370 16288304307 17023786890 27147173845 32576608614 54294347690 81441521535 162883043070 366733639397 733467278794 1100200918191 1833668196985 2200401836382 3667336393970 4034070033367 5501004590955 8068140066734 11002009181910 12102210100101 20170350166835 24204420200202 40340700333670 60511050500505 121022101001010