100202101131120 has 80 divisors (see below), whose sum is σ = 310687412521632. Its totient is φ = 26715321676800.

The previous prime is 100202101131091. The next prime is 100202101131127. The reversal of 100202101131120 is 21131101202001.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×100202101131120² (a number of 29 digits) contains 22 as substring.

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 100202101131120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100202101131127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39699967 + ... + 42148446.

Almost surely, 2^{100202101131120} is an apocalyptic number.

100202101131120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100202101131120 is an abundant number, since it is smaller than the sum of its proper divisors (210485311390512).

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

100202101131120 is a wasteful number, since it uses less digits than its factorization.

100202101131120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81853530 (or 81853524 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 100202101131120 its reverse (21131101202001), we get a palindrome (121333202333121).

The spelling of 100202101131120 in words is "one hundred trillion, two hundred two billion, one hundred one million, one hundred thirty-one thousand, one hundred twenty".