10202121120200 has 48 divisors (see below), whose sum is σ = 23954782459860. Its totient is φ = 4040444000000.

The previous prime is 10202121120197. The next prime is 10202121120239. The reversal of 10202121120200 is 202112120201.

10202121120200 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 6807705468964 + 3394415651236 = 2609158^2 + 1842394^2 .

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, 252507551 + ... + 252547950.

Almost surely, 2^{10202121120200} is an apocalyptic number.

10202121120200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10202121120200 is an abundant number, since it is smaller than the sum of its proper divisors (13752661339660).

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

10202121120200 is a wasteful number, since it uses less digits than its factorization.

10202121120200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505055618 (or 505055609 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10202121120200 its reverse (202112120201), we get a palindrome (10404233240401).

It can be divided in two parts, 1020212 and 1120200, that added together give a palindrome (2140412).

The spelling of 10202121120200 in words is "ten trillion, two hundred two billion, one hundred twenty-one million, one hundred twenty thousand, two hundred".