102111144100 has 54 divisors (see below), whose sum is σ = 257757714690. Its totient is φ = 35009533440.

The previous prime is 102111143983. The next prime is 102111144199. The reversal of 102111144100 is 1441111201.

102111144100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 436893604 + 101674250496 = 20902^2 + 318864^2 .

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 17 ways as a sum of consecutive naturals, for example, 10414605 + ... + 10424404.

Almost surely, 2^102111144100 is an apocalyptic number.

102111144100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102111144100 is an abundant number, since it is smaller than the sum of its proper divisors (155646570590).

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

102111144100 is a wasteful number, since it uses less digits than its factorization.

102111144100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20839037 (or 20839023 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 102111144100 its reverse (1441111201), we get a palindrome (103552255301).

The spelling of 102111144100 in words is "one hundred two billion, one hundred eleven million, one hundred forty-four thousand, one hundred".