10200020020200 has 72 divisors (see below), whose sum is σ = 34255067240550. Its totient is φ = 2720005338240.

The previous prime is 10200020020159. The next prime is 10200020020213. The reversal of 10200020020200 is 202002000201.

It can be written as a sum of positive squares in 3 ways, for example, as 4980833041284 + 5219186978916 = 2231778^2 + 2284554^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2833337095 + ... + 2833340694.

Almost surely, 2^{10200020020200} is an apocalyptic number.

10200020020200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10200020020200 is an abundant number, since it is smaller than the sum of its proper divisors (24055047220350).

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

10200020020200 is a wasteful number, since it uses less digits than its factorization.

10200020020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5666677811 (or 5666677799 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 10200020020200 its reverse (202002000201), we get a palindrome (10402022020401).

The spelling of 10200020020200 in words is "ten trillion, two hundred billion, twenty million, twenty thousand, two hundred".