102123214032 has 160 divisors (see below), whose sum is σ = 303621360640. Its totient is φ = 28973998080.

The previous prime is 102123214009. The next prime is 102123214049. The reversal of 102123214032 is 230412321201.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47921607 + ... + 47923737.

It is an arithmetic number, because the mean of its divisors is an integer number (1897633504).

Almost surely, 2^102123214032 is an apocalyptic number.

102123214032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102123214032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151810680320).

102123214032 is an abundant number, since it is smaller than the sum of its proper divisors (201498146608).

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

102123214032 is a wasteful number, since it uses less digits than its factorization.

102123214032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3081 (or 3075 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 102123214032 its reverse (230412321201), we get a palindrome (332535535233).

The spelling of 102123214032 in words is "one hundred two billion, one hundred twenty-three million, two hundred fourteen thousand, thirty-two".