102310031023200 has 5184 divisors, whose sum is σ = 528604459149312. Its totient is φ = 18255708979200.

The previous prime is 102310031023181. The next prime is 102310031023219. The reversal of 102310031023200 is 2320130013201.

102310031023200 is a `hidden beast` number, since 1 + 0 + 2 + 31 + 0 + 0 + 310 + 2 + 320 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (102310031023181) and next prime (102310031023219).

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 863 ways as a sum of consecutive naturals, for example, 42933289209 + ... + 42933291591.

It is an arithmetic number, because the mean of its divisors is an integer number (101968452768).

Almost surely, 2^{102310031023200} is an apocalyptic number.

102310031023200 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 102310031023200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264302229574656).

102310031023200 is an abundant number, since it is smaller than the sum of its proper divisors (426294428126112).

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

102310031023200 is a wasteful number, since it uses less digits than its factorization.

102310031023200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2507 (or 2484 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 102310031023200 its reverse (2320130013201), we get a palindrome (104630161036401).

The spelling of 102310031023200 in words is "one hundred two trillion, three hundred ten billion, thirty-one million, twenty-three thousand, two hundred".