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100101221012220 = 22354140691553257
BaseRepresentation
bin10110110000101010100001…
…101110000101001011111100
3111010102120202012111201102020
4112300222201232011023330
5101110024300034342340
6552521511024200140
730041034400432161
oct2660524156051374
9433376665451366
10100101221012220
112999376469a88a
12b288354469050
1343b16738c5c0c
141aa0cd40b2068
15b88ce0ce59d0
hex5b0aa1b852fc

100101221012220 has 48 divisors (see below), whose sum is σ = 287119599788448. Its totient is φ = 26042594083840.

The previous prime is 100101221012209. The next prime is 100101221012249. The reversal of 100101221012220 is 22210122101001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 100101221012220.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 20345774169 + ... + 20345779088.

It is an arithmetic number, because the mean of its divisors is an integer number (5981658328926).

Almost surely, 2100101221012220 is an apocalyptic number.

100101221012220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100101221012220 is an abundant number, since it is smaller than the sum of its proper divisors (187018378776228).

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

100101221012220 is a wasteful number, since it uses less digits than its factorization.

100101221012220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40691553310 (or 40691553308 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 100101221012220 its reverse (22210122101001), we get a palindrome (122311343113221).

The spelling of 100101221012220 in words is "one hundred trillion, one hundred one billion, two hundred twenty-one million, twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 123 164 205 246 410 492 615 820 1230 2460 40691553257 81383106514 122074659771 162766213028 203457766285 244149319542 406915532570 488298639084 610373298855 813831065140 1220746597710 1668353683537 2441493195420 3336707367074 5005061050611 6673414734148 8341768417685 10010122101222 16683536835370 20020244202444 25025305253055 33367073670740 50050610506110 100101221012220