12202002012100 has 18 divisors (see below), whose sum is σ = 26478344366474. Its totient is φ = 4880800804800.

The previous prime is 12202002012091. The next prime is 12202002012113. The reversal of 12202002012100 is 121020020221.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 18788733184 + 12183213278916 = 137072^2 + 3490446^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 61010009961 + ... + 61010010160.

Almost surely, 2^{12202002012100} is an apocalyptic number.

12202002012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12202002012100 is an abundant number, since it is smaller than the sum of its proper divisors (14276342354374).

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

12202002012100 is a wasteful number, since it uses less digits than its factorization.

12202002012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122020020135 (or 122020020128 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 12202002012100 its reverse (121020020221), we get a palindrome (12323022032321).

The spelling of 12202002012100 in words is "twelve trillion, two hundred two billion, two million, twelve thousand, one hundred".