102020020010000 has 50 divisors (see below), whose sum is σ = 247000670470422. Its totient is φ = 40808008000000.

The previous prime is 102020020009991. The next prime is 102020020010021. The reversal of 102020020010000 is 10020020201.

It can be written as a sum of positive squares in 5 ways, for example, as 8550337417216 + 93469682592784 = 2924096^2 + 9667972^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 102020020010000.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 5100991001 + ... + 5101011000.

Almost surely, 2^{102020020010000} is an apocalyptic number.

102020020010000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102020020010000 is an abundant number, since it is smaller than the sum of its proper divisors (144980650460422).

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

102020020010000 is an equidigital number, since it uses as much as digits as its factorization.

102020020010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10202002029 (or 10202002008 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 102020020010000 its reverse (10020020201), we get a palindrome (102030040030201).

The spelling of 102020020010000 in words is "one hundred two trillion, twenty billion, twenty million, ten thousand".