21100202100201 has 48 divisors (see below), whose sum is σ = 33404820140160. Its totient is φ = 11591509171200.

The previous prime is 21100202100079. The next prime is 21100202100209. The reversal of 21100202100201 is 10200120200112.

It is not a de Polignac number, because 21100202100201 - 2¹⁰ = 21100202099177 is a prime.

It is not an unprimeable number, because it can be changed into a prime (21100202100209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32742901 + ... + 33381101.

It is an arithmetic number, because the mean of its divisors is an integer number (695933752920).

Almost surely, 2^{21100202100201} is an apocalyptic number.

21100202100201 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

21100202100201 is a deficient number, since it is larger than the sum of its proper divisors (12304618039959).

21100202100201 is an equidigital number, since it uses as much as digits as its factorization.

21100202100201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638706 (or 638473 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 21100202100201 its reverse (10200120200112), we get a palindrome (31300322300313).

The spelling of 21100202100201 in words is "twenty-one trillion, one hundred billion, two hundred two million, one hundred thousand, two hundred one".