102322120032 has 144 divisors (see below), whose sum is σ = 318393391680. Its totient is φ = 30912710400.

The previous prime is 102322120027. The next prime is 102322120223. The reversal of 102322120032 is 230021223201.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 102322119987 and 102322120014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 999819 + ... + 1097397.

It is an arithmetic number, because the mean of its divisors is an integer number (2211065220).

Almost surely, 2^102322120032 is an apocalyptic number.

102322120032 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 102322120032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159196695840).

102322120032 is an abundant number, since it is smaller than the sum of its proper divisors (216071271648).

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

102322120032 is a wasteful number, since it uses less digits than its factorization.

102322120032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97937 (or 97926 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 102322120032 its reverse (230021223201), we get a palindrome (332343343233).

The spelling of 102322120032 in words is "one hundred two billion, three hundred twenty-two million, one hundred twenty thousand, thirty-two".