102112111321100 has 18 divisors (see below), whose sum is σ = 221583281567004. Its totient is φ = 40844844528400.

The previous prime is 102112111321069. The next prime is 102112111321109. The reversal of 102112111321100 is 1123111211201.

It is not an unprimeable number, because it can be changed into a prime (102112111321109) 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 5 ways as a sum of consecutive naturals, for example, 510560556506 + ... + 510560556705.

It is an arithmetic number, because the mean of its divisors is an integer number (12310182309278).

Almost surely, 2^{102112111321100} is an apocalyptic number.

102112111321100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102112111321100 is an abundant number, since it is smaller than the sum of its proper divisors (119471170245904).

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

102112111321100 is a wasteful number, since it uses less digits than its factorization.

102112111321100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1021121113225 (or 1021121113218 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 17.

Adding to 102112111321100 its reverse (1123111211201), we get a palindrome (103235222532301).

The spelling of 102112111321100 in words is "one hundred two trillion, one hundred twelve billion, one hundred eleven million, three hundred twenty-one thousand, one hundred".