101011012021009 has 2 divisors, whose sum is σ = 101011012021010. Its totient is φ = 101011012021008.

The previous prime is 101011012020953. The next prime is 101011012021063. The reversal of 101011012021009 is 900120210110101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100925029361025 + 85982659984 = 10046145^2 + 293228^2 .

It is an emirp because it is prime and its reverse (900120210110101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101011012021009 - 2²⁵ = 101010978466577 is a prime.

It is not a weakly prime, because it can be changed into another prime (101011012025009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50505506010504 + 50505506010505.

It is an arithmetic number, because the mean of its divisors is an integer number (50505506010505).

Almost surely, 2^{101011012021009} is an apocalyptic number.

It is an amenable number.

101011012021009 is a deficient number, since it is larger than the sum of its proper divisors (1).

101011012021009 is an equidigital number, since it uses as much as digits as its factorization.

101011012021009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 19.

The spelling of 101011012021009 in words is "one hundred one trillion, eleven billion, twelve million, twenty-one thousand, nine".