2100206216101 has 12 divisors (see below), whose sum is σ = 2447786302380. Its totient is φ = 1796721501120.

The previous prime is 2100206216083. The next prime is 2100206216153. The reversal of 2100206216101 is 1016126020012.

It can be written as a sum of positive squares in 2 ways, for example, as 1317421884100 + 782784332001 = 1147790^2 + 884751^2 .

It is not a de Polignac number, because 2100206216101 - 2⁹ = 2100206215589 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100206210101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41108206 + ... + 41159263.

It is an arithmetic number, because the mean of its divisors is an integer number (203982191865).

Almost surely, 2^{2100206216101} is an apocalyptic number.

It is an amenable number.

2100206216101 is a deficient number, since it is larger than the sum of its proper divisors (347580086279).

2100206216101 is an equidigital number, since it uses as much as digits as its factorization.

2100206216101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82268004 (or 82267997 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The spelling of 2100206216101 in words is "two trillion, one hundred billion, two hundred six million, two hundred sixteen thousand, one hundred one".