201220120012100 has 144 divisors (see below), whose sum is σ = 515315848924800. Its totient is φ = 66767127275520.

The previous prime is 201220120012099. The next prime is 201220120012117. The reversal of 201220120012100 is 1210021022102.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27384485 + ... + 33946284.

It is an arithmetic number, because the mean of its divisors is an integer number (3578582284200).

Almost surely, 2^{201220120012100} is an apocalyptic number.

201220120012100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201220120012100 is an abundant number, since it is smaller than the sum of its proper divisors (314095728912700).

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

201220120012100 is a wasteful number, since it uses less digits than its factorization.

201220120012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61330942 (or 61330935 counting only the distinct ones).

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

Adding to 201220120012100 its reverse (1210021022102), we get a palindrome (202430141034202).

The spelling of 201220120012100 in words is "two hundred one trillion, two hundred twenty billion, one hundred twenty million, twelve thousand, one hundred".