102321044102400 has 648 divisors, whose sum is σ = 370299587059584. Its totient is φ = 24794972160000.

The previous prime is 102321044102339. The next prime is 102321044102461. The reversal of 102321044102400 is 4201440123201.

It is an interprime number because it is at equal distance from previous prime (102321044102339) and next prime (102321044102461).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 274316025 + ... + 274688775.

Almost surely, 2^{102321044102400} is an apocalyptic number.

102321044102400 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 102321044102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185149793529792).

102321044102400 is an abundant number, since it is smaller than the sum of its proper divisors (267978542957184).

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

102321044102400 is a wasteful number, since it uses less digits than its factorization.

102321044102400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372855 (or 372807 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 102321044102400 its reverse (4201440123201), we get a palindrome (106522484225601).

The spelling of 102321044102400 in words is "one hundred two trillion, three hundred twenty-one billion, forty-four million, one hundred two thousand, four hundred".