102321200002320 has 320 divisors, whose sum is σ = 387625980349440. Its totient is φ = 24650868160512.

The previous prime is 102321200002319. The next prime is 102321200002321. The reversal of 102321200002320 is 23200002123201.

102321200002320 is a `hidden beast` number, since 1 + 0 + 2 + 321 + 20 + 0 + 0 + 0 + 2 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (102321200002319) and next prime (102321200002321).

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

It is a junction number, because it is equal to n+sod(n) for n = 102321200002293 and 102321200002302.

It is not an unprimeable number, because it can be changed into a prime (102321200002321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37445319 + ... + 40084838.

It is an arithmetic number, because the mean of its divisors is an integer number (1211331188592).

Almost surely, 2^{102321200002320} is an apocalyptic number.

102321200002320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102321200002320 is an abundant number, since it is smaller than the sum of its proper divisors (285304780347120).

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

102321200002320 is a wasteful number, since it uses less digits than its factorization.

102321200002320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77530239 (or 77530227 counting only the distinct ones).

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

Adding to 102321200002320 its reverse (23200002123201), we get a palindrome (125521202125521).

The spelling of 102321200002320 in words is "one hundred two trillion, three hundred twenty-one billion, two hundred million, two thousand, three hundred twenty".