100110010102100 has 36 divisors (see below), whose sum is σ = 217527988026048. Its totient is φ = 39990683100000.

The previous prime is 100110010102097. The next prime is 100110010102103. The reversal of 100110010102100 is 1201010011001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100110010102097) and next prime (100110010102103).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100110010102103) 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, 666436286 + ... + 666586485.

Almost surely, 2^{100110010102100} is an apocalyptic number.

100110010102100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100110010102100 is an abundant number, since it is smaller than the sum of its proper divisors (117417977923948).

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

100110010102100 is a wasteful number, since it uses less digits than its factorization.

100110010102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1333023536 (or 1333023529 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 100110010102100 its reverse (1201010011001), we get a palindrome (101311020113101).

The spelling of 100110010102100 in words is "one hundred trillion, one hundred ten billion, ten million, one hundred two thousand, one hundred".