2102202100201 has 16 divisors (see below), whose sum is σ = 2431554048000. Its totient is φ = 1780111125648.

The previous prime is 2102202100133. The next prime is 2102202100283. The reversal of 2102202100201 is 1020012022012.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 2102202100201 - 2²⁵ = 2102168545769 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2102202100601) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21039880 + ... + 21139558.

It is an arithmetic number, because the mean of its divisors is an integer number (151972128000).

Almost surely, 2^{2102202100201} is an apocalyptic number.

It is an amenable number.

2102202100201 is a deficient number, since it is larger than the sum of its proper divisors (329351947799).

2102202100201 is an equidigital number, since it uses as much as digits as its factorization.

2102202100201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136068.

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

Adding to 2102202100201 its reverse (1020012022012), we get a palindrome (3122214122213).

The spelling of 2102202100201 in words is "two trillion, one hundred two billion, two hundred two million, one hundred thousand, two hundred one".