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100222021020100 = 22527143174315743
BaseRepresentation
bin10110110010011011000001…
…111101100010100111000100
3111010212010112222000221102011
4112302123001331202213010
5101114014144340120400
6553053205535424004
730052542052523110
oct2662330175424704
9433763488027364
10100222021020100
1129a2aa140a0741
12b2a7848085004
1343bcb85766915
141aa6ab3786740
15b8c0111258ba
hex5b26c1f629c4

100222021020100 has 36 divisors (see below), whose sum is σ = 248550612131584. Its totient is φ = 34361835778080.

The previous prime is 100222021020061. The next prime is 100222021020103. The reversal of 100222021020100 is 1020120222001.

It is a happy number.

It is a super-5 number, since 5×1002220210201005 (a number of 71 digits) contains 55555 as substring.

It is not an unprimeable number, because it can be changed into a prime (100222021020103) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 71587157172 + ... + 71587158571.

Almost surely, 2100222021020100 is an apocalyptic number.

100222021020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100222021020100 is an abundant number, since it is smaller than the sum of its proper divisors (148328591111484).

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

100222021020100 is a wasteful number, since it uses less digits than its factorization.

100222021020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143174315764 (or 143174315757 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 100222021020100 its reverse (1020120222001), we get a palindrome (101242141242101).

The spelling of 100222021020100 in words is "one hundred trillion, two hundred twenty-two billion, twenty-one million, twenty thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 143174315743 286348631486 572697262972 715871578715 1002220210201 1431743157430 2004440420402 2863486314860 3579357893575 4008880840804 5011101051005 7158715787150 10022202102010 14317431574300 20044404204020 25055505255025 50111010510050 100222021020100