102331031114400 has 288 divisors, whose sum is σ = 363405431188800. Its totient is φ = 24804980121600.

The previous prime is 102331031114399. The next prime is 102331031114423. The reversal of 102331031114400 is 4411130133201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 264043966 + ... + 264431234.

It is an arithmetic number, because the mean of its divisors is an integer number (1261824413850).

Almost surely, 2^{102331031114400} is an apocalyptic number.

102331031114400 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 102331031114400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181702715594400).

102331031114400 is an abundant number, since it is smaller than the sum of its proper divisors (261074400074400).

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

102331031114400 is a wasteful number, since it uses less digits than its factorization.

102331031114400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397312 (or 397299 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 102331031114400 its reverse (4411130133201), we get a palindrome (106742161247601).

The spelling of 102331031114400 in words is "one hundred two trillion, three hundred thirty-one billion, thirty-one million, one hundred fourteen thousand, four hundred".