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101121002102010 = 235111131172708941
BaseRepresentation
bin10110111111100000010001…
…011010001101110011111010
3111021001001222111112121210110
4112333200101122031303322
5101223231303014231020
6555022202544125150
730204515461611012
oct2677402132156372
9437031874477713
10101121002102010
112a2471a3516270
12b411b170067b6
1344568920c09c7
141ad83d56d8c42
15ba55c8e858e0
hex5bf81168dcfa

101121002102010 has 64 divisors (see below), whose sum is σ = 264755607398784. Its totient is φ = 24513956563200.

The previous prime is 101121002101937. The next prime is 101121002102017. The reversal of 101121002102010 is 10201200121101.

It is a super-2 number, since 2×1011210021020102 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101121002102017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35974140 + ... + 38683080.

It is an arithmetic number, because the mean of its divisors is an integer number (4136806365606).

Almost surely, 2101121002102010 is an apocalyptic number.

101121002102010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101121002102010 is an abundant number, since it is smaller than the sum of its proper divisors (163634605296774).

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

101121002102010 is a wasteful number, since it uses less digits than its factorization.

101121002102010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2822079.

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

Adding to 101121002102010 its reverse (10201200121101), we get a palindrome (111322202223111).

The spelling of 101121002102010 in words is "one hundred one trillion, one hundred twenty-one billion, two million, one hundred two thousand, ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 113117 226234 339351 565585 678702 1131170 1244287 1696755 2488574 2708941 3393510 3732861 5417882 6221435 7465722 8126823 12442870 13544705 16253646 18664305 27089410 29798351 37328610 40634115 59596702 81268230 89395053 148991755 178790106 297983510 446975265 893950530 306427279097 612854558194 919281837291 1532136395485 1838563674582 3064272790970 3370700070067 4596409186455 6741400140134 9192818372910 10112100210201 16853500350335 20224200420402 33707000700670 50560501051005 101121002102010