102323222100 has 432 divisors, whose sum is σ = 367356487680. Its totient is φ = 23594400000.

The previous prime is 102323222077. The next prime is 102323222161. The reversal of 102323222100 is 1222323201.

102323222100 is a `hidden beast` number, since 10 + 232 + 322 + 2 + 100 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 18104275 + ... + 18109925.

It is an arithmetic number, because the mean of its divisors is an integer number (850362240).

Almost surely, 2^102323222100 is an apocalyptic number.

102323222100 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 102323222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183678243840).

102323222100 is an abundant number, since it is smaller than the sum of its proper divisors (265033265580).

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

102323222100 is a wasteful number, since it uses less digits than its factorization.

102323222100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5772 (or 5762 counting only the distinct ones).

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

Adding to 102323222100 its reverse (1222323201), we get a palindrome (103545545301).

It can be divided in two parts, 102323 and 222100, that added together give a palindrome (324423).

The spelling of 102323222100 in words is "one hundred two billion, three hundred twenty-three million, two hundred twenty-two thousand, one hundred".