102020332311320 has 256 divisors, whose sum is σ = 248114655360000. Its totient is φ = 37636141086720.

The previous prime is 102020332311299. The next prime is 102020332311421. The reversal of 102020332311320 is 23113233020201.

102020332311320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×102020332311320² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4785407621 + ... + 4785428939.

It is an arithmetic number, because the mean of its divisors is an integer number (969197872500).

Almost surely, 2^{102020332311320} is an apocalyptic number.

102020332311320 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 102020332311320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124057327680000).

102020332311320 is an abundant number, since it is smaller than the sum of its proper divisors (146094323048680).

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

102020332311320 is a wasteful number, since it uses less digits than its factorization.

102020332311320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22466 (or 22462 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 102020332311320 its reverse (23113233020201), we get a palindrome (125133565331521).

The spelling of 102020332311320 in words is "one hundred two trillion, twenty billion, three hundred thirty-two million, three hundred eleven thousand, three hundred twenty".