10200121020200 has 96 divisors (see below), whose sum is σ = 23790867644160. Its totient is φ = 4067065094400.

The previous prime is 10200121020181. The next prime is 10200121020209. The reversal of 10200121020200 is 202012100201.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (10200121020209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79257905 + ... + 79386495.

It is an arithmetic number, because the mean of its divisors is an integer number (247821537960).

Almost surely, 2^{10200121020200} is an apocalyptic number.

10200121020200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10200121020200 is an abundant number, since it is smaller than the sum of its proper divisors (13590746623960).

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

10200121020200 is a wasteful number, since it uses less digits than its factorization.

10200121020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129867 (or 129858 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10200121020200 its reverse (202012100201), we get a palindrome (10402133120401).

The spelling of 10200121020200 in words is "ten trillion, two hundred billion, one hundred twenty-one million, twenty thousand, two hundred".