102332122100 has 144 divisors (see below), whose sum is σ = 250655707008. Its totient is φ = 35979778560.

The previous prime is 102332122091. The next prime is 102332122129. The reversal of 102332122100 is 1221233201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6779762 + ... + 6794838.

It is an arithmetic number, because the mean of its divisors is an integer number (1740664632).

Almost surely, 2^102332122100 is an apocalyptic number.

102332122100 is a gapful number since it is divisible by the number (10) 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 102332122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125327853504).

102332122100 is an abundant number, since it is smaller than the sum of its proper divisors (148323584908).

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

102332122100 is a wasteful number, since it uses less digits than its factorization.

102332122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15354 (or 15347 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 102332122100 its reverse (1221233201), we get a palindrome (103553355301).

The spelling of 102332122100 in words is "one hundred two billion, three hundred thirty-two million, one hundred twenty-two thousand, one hundred".