102321020023200 has 864 divisors, whose sum is σ = 404812956562560. Its totient is φ = 24100988313600.

The previous prime is 102321020023193. The next prime is 102321020023231. The reversal of 102321020023200 is 2320020123201.

102321020023200 is a `hidden beast` number, since 1 + 0 + 2 + 321 + 0 + 20 + 0 + 2 + 320 + 0 = 666.

It is a super-2 number, since 2×102321020023200² (a number of 29 digits) contains 22 as substring.

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

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, 2130376786 + ... + 2130424814.

It is an arithmetic number, because the mean of its divisors is an integer number (468533514540).

Almost surely, 2^{102321020023200} is an apocalyptic number.

102321020023200 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 102321020023200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202406478281280).

102321020023200 is an abundant number, since it is smaller than the sum of its proper divisors (302491936539360).

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

102321020023200 is a wasteful number, since it uses less digits than its factorization.

102321020023200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48830 (or 48814 counting only the distinct ones).

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

Adding to 102321020023200 its reverse (2320020123201), we get a palindrome (104641040146401).

The spelling of 102321020023200 in words is "one hundred two trillion, three hundred twenty-one billion, twenty million, twenty-three thousand, two hundred".