10200201021200 has 60 divisors (see below), whose sum is σ = 24565900176180. Its totient is φ = 4070104596480.

The previous prime is 10200201021193. The next prime is 10200201021211. The reversal of 10200201021200 is 212010200201.

It is a happy number.

10200201021200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 522601759744 + 9677599261456 = 722912^2 + 3110884^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31010609 + ... + 31337808.

It is an arithmetic number, because the mean of its divisors is an integer number (409431669603).

Almost surely, 2^{10200201021200} is an apocalyptic number.

10200201021200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10200201021200 is an abundant number, since it is smaller than the sum of its proper divisors (14365699154980).

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

10200201021200 is a wasteful number, since it uses less digits than its factorization.

10200201021200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62348844 (or 62348833 counting only the distinct ones).

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

Adding to 10200201021200 its reverse (212010200201), we get a palindrome (10412211221401).

The spelling of 10200201021200 in words is "ten trillion, two hundred billion, two hundred one million, twenty-one thousand, two hundred".