2113102100009 has 2 divisors, whose sum is σ = 2113102100010. Its totient is φ = 2113102100008.

The previous prime is 2113102099967. The next prime is 2113102100023. The reversal of 2113102100009 is 9000012013112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2040540825625 + 72561274384 = 1428475^2 + 269372^2 .

It is a cyclic number.

It is not a de Polignac number, because 2113102100009 - 2²⁴ = 2113085322793 is a prime.

It is not a weakly prime, because it can be changed into another prime (2113102100069) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1056551050004 + 1056551050005.

It is an arithmetic number, because the mean of its divisors is an integer number (1056551050005).

Almost surely, 2^{2113102100009} is an apocalyptic number.

It is an amenable number.

2113102100009 is a deficient number, since it is larger than the sum of its proper divisors (1).

2113102100009 is an equidigital number, since it uses as much as digits as its factorization.

2113102100009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108, while the sum is 20.

The spelling of 2113102100009 in words is "two trillion, one hundred thirteen billion, one hundred two million, one hundred thousand, nine".