102031133010020 has 96 divisors (see below), whose sum is σ = 227686311024480. Its totient is φ = 38333079429120.

The previous prime is 102031133010019. The next prime is 102031133010029. The reversal of 102031133010020 is 20010331130201.

It can be written as a sum of positive squares in 16 ways, for example, as 8139529116196 + 93891603893824 = 2852986^2 + 9689768^2 .

It is not an unprimeable number, because it can be changed into a prime (102031133010029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 117102380 + ... + 117970460.

It is an arithmetic number, because the mean of its divisors is an integer number (2371732406505).

Almost surely, 2^{102031133010020} is an apocalyptic number.

102031133010020 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 102031133010020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113843155512240).

102031133010020 is an abundant number, since it is smaller than the sum of its proper divisors (125655178014460).

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

102031133010020 is a wasteful number, since it uses less digits than its factorization.

102031133010020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 873633 (or 873631 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 102031133010020 its reverse (20010331130201), we get a palindrome (122041464140221).

The spelling of 102031133010020 in words is "one hundred two trillion, thirty-one billion, one hundred thirty-three million, ten thousand, twenty".