100202110100 has 36 divisors (see below), whose sum is σ = 219591458268. Its totient is φ = 39684000000.

The previous prime is 100202110079. The next prime is 100202110159. The reversal of 100202110100 is 1011202001.

It can be written as a sum of positive squares in 6 ways, for example, as 722426884 + 99479683216 = 26878^2 + 315404^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4950401 + ... + 4970600.

Almost surely, 2^100202110100 is an apocalyptic number.

100202110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100202110100 is an abundant number, since it is smaller than the sum of its proper divisors (119389348168).

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

100202110100 is a wasteful number, since it uses less digits than its factorization.

100202110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9921116 (or 9921109 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 100202110100 its reverse (1011202001), we get a palindrome (101213312101).

The spelling of 100202110100 in words is "one hundred billion, two hundred two million, one hundred ten thousand, one hundred".