2021112100009 has 2 divisors, whose sum is σ = 2021112100010. Its totient is φ = 2021112100008.

The previous prime is 2021112099983. The next prime is 2021112100057. The reversal of 2021112100009 is 9000012111202.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1858423297600 + 162688802409 = 1363240^2 + 403347^2 .

It is a cyclic number.

It is not a de Polignac number, because 2021112100009 - 2²⁹ = 2020575229097 is a prime.

It is not a weakly prime, because it can be changed into another prime (2021112101009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1010556050004 + 1010556050005.

It is an arithmetic number, because the mean of its divisors is an integer number (1010556050005).

Almost surely, 2^{2021112100009} is an apocalyptic number.

It is an amenable number.

2021112100009 is a deficient number, since it is larger than the sum of its proper divisors (1).

2021112100009 is an equidigital number, since it uses as much as digits as its factorization.

2021112100009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 19.

The spelling of 2021112100009 in words is "two trillion, twenty-one billion, one hundred twelve million, one hundred thousand, nine".