10202121212100 has 36 divisors (see below), whose sum is σ = 29518137374544. Its totient is φ = 2720565656480.

The previous prime is 10202121212027. The next prime is 10202121212119. The reversal of 10202121212100 is 121212120201.

10202121212100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10202121212100.

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, 17003535054 + ... + 17003535653.

It is an arithmetic number, because the mean of its divisors is an integer number (819948260404).

Almost surely, 2^{10202121212100} is an apocalyptic number.

10202121212100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10202121212100 is an abundant number, since it is smaller than the sum of its proper divisors (19316016162444).

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

10202121212100 is a wasteful number, since it uses less digits than its factorization.

10202121212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34007070724 (or 34007070717 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10202121212100 its reverse (121212120201), we get a palindrome (10323333332301).

The spelling of 10202121212100 in words is "ten trillion, two hundred two billion, one hundred twenty-one million, two hundred twelve thousand, one hundred".