100202102111100 has 144 divisors (see below), whose sum is σ = 316304706453120. Its totient is φ = 24289081132800.

The previous prime is 100202102111051. The next prime is 100202102111119. The reversal of 100202102111100 is 1111201202001.

It is a super-2 number, since 2×100202102111100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32959939 + ... + 35871461.

It is an arithmetic number, because the mean of its divisors is an integer number (2196560461480).

Almost surely, 2^{100202102111100} is an apocalyptic number.

100202102111100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100202102111100 is an abundant number, since it is smaller than the sum of its proper divisors (216102604342020).

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

100202102111100 is a wasteful number, since it uses less digits than its factorization.

100202102111100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2921980 (or 2921973 counting only the distinct ones).

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

Adding to 100202102111100 its reverse (1111201202001), we get a palindrome (101313303313101).

Subtracting from 100202102111100 its reverse (1111201202001), we obtain a palindrome (99090900909099).

The spelling of 100202102111100 in words is "one hundred trillion, two hundred two billion, one hundred two million, one hundred eleven thousand, one hundred".