102020310312032 has 144 divisors (see below), whose sum is σ = 236380429651968. Its totient is φ = 42455737094400.

The previous prime is 102020310312017. The next prime is 102020310312049. The reversal of 102020310312032 is 230213013020201.

It is a junction number, because it is equal to n+sod(n) for n = 102020310311995 and 102020310312013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62029907 + ... + 63653357.

It is an arithmetic number, because the mean of its divisors is an integer number (1641530761472).

Almost surely, 2^{102020310312032} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102020310312032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118190214825984).

102020310312032 is an abundant number, since it is smaller than the sum of its proper divisors (134360119339936).

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

102020310312032 is a wasteful number, since it uses less digits than its factorization.

102020310312032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1623689 (or 1623634 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 102020310312032 its reverse (230213013020201), we get a palindrome (332233323332233).

The spelling of 102020310312032 in words is "one hundred two trillion, twenty billion, three hundred ten million, three hundred twelve thousand, thirty-two".