102000100111100 has 36 divisors (see below), whose sum is σ = 221343149423424. Its totient is φ = 40799499550080.

The previous prime is 102000100111087. The next prime is 102000100111153. The reversal of 102000100111100 is 1111001000201.

It is a happy number.

It is a super-3 number, since 3×102000100111100³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 873077 + ... + 14309523.

Almost surely, 2^{102000100111100} is an apocalyptic number.

102000100111100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102000100111100 is an abundant number, since it is smaller than the sum of its proper divisors (119343049312324).

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

102000100111100 is a wasteful number, since it uses less digits than its factorization.

102000100111100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13512374 (or 13512367 counting only the distinct ones).

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

Adding to 102000100111100 its reverse (1111001000201), we get a palindrome (103111101111301).

The spelling of 102000100111100 in words is "one hundred two trillion, one hundred million, one hundred eleven thousand, one hundred".