102111112000 has 112 divisors (see below), whose sum is σ = 267753711888. Its totient is φ = 38441779200.

The previous prime is 102111111979. The next prime is 102111112027. The reversal of 102111112000 is 211111201.

It can be written as a sum of positive squares in 8 ways, for example, as 23903633664 + 78207478336 = 154608^2 + 279656^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 239409 + ... + 511408.

Almost surely, 2^102111112000 is an apocalyptic number.

102111112000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102111112000 is an abundant number, since it is smaller than the sum of its proper divisors (165642599888).

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

102111112000 is an equidigital number, since it uses as much as digits as its factorization.

102111112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750861 (or 750841 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 102111112000 its reverse (211111201), we get a palindrome (102322223201).

It can be divided in two parts, 10211 and 1112000, that added together give a palindrome (1122211).

The spelling of 102111112000 in words is "one hundred two billion, one hundred eleven million, one hundred twelve thousand".