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101221201000010 = 25713677123382823
BaseRepresentation
bin10111000000111101100101…
…101110101011011001001010
3111021101122121112110000210202
4113000331211232223121022
5101231402004424000020
6555140213334212202
730214663502314040
oct2700754556533112
9437348545400722
10101221201000010
112a285741151383
12b42941b4b4062
13446316cb8cc70
141add1bcd32390
15ba7ee08ace75
hex5c0f65bab64a

101221201000010 has 128 divisors (see below), whose sum is σ = 230796329508864. Its totient is φ = 31112247640320.

The previous prime is 101221200999977. The next prime is 101221201000063. The reversal of 101221201000010 is 10000102122101.

It is a junction number, because it is equal to n+sod(n) for n = 101221200999955 and 101221201000000.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7362542 + ... + 16020281.

It is an arithmetic number, because the mean of its divisors is an integer number (1803096324288).

Almost surely, 2101221201000010 is an apocalyptic number.

101221201000010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101221201000010 is an abundant number, since it is smaller than the sum of its proper divisors (129575128508854).

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

101221201000010 is a wasteful number, since it uses less digits than its factorization.

101221201000010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23382988.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 101221201000010 its reverse (10000102122101), we get a palindrome (111221303122111).

The spelling of 101221201000010 in words is "one hundred one trillion, two hundred twenty-one billion, two hundred one million, ten", and thus it is an aban number.

Divisors: 1 2 5 7 10 13 14 26 35 65 67 70 71 91 130 134 142 182 335 355 455 469 497 670 710 871 910 923 938 994 1742 1846 2345 2485 4355 4615 4690 4757 4970 6097 6461 8710 9230 9514 12194 12922 23785 30485 32305 33299 47570 60970 61841 64610 66598 123682 166495 309205 332990 432887 618410 865774 2164435 4328870 23382823 46765646 116914115 163679761 233828230 303976699 327359522 607953398 818398805 1519883495 1566649141 1636797610 1660180433 2127836893 3039766990 3133298282 3320360866 4255673786 7833245705 8300902165 10639184465 10966543987 11621263031 15666491410 16601804330 20366438833 21278368930 21582345629 21933087974 23242526062 40732877666 43164691258 54832719935 58106315155 101832194165 107911728145 109665439870 111232089011 116212630310 142565071831 151076419403 203664388330 215823456290 222464178022 285130143662 302152838806 556160445055 712825359155 755382097015 778624623077 1112320890110 1425650718310 1446017157143 1510764194030 1557249246154 2892034314286 3893123115385 7230085785715 7786246230770 10122120100001 14460171571430 20244240200002 50610600500005 101221201000010