101010000000901 has 2 divisors, whose sum is σ = 101010000000902. Its totient is φ = 101010000000900.

The previous prime is 101010000000841. The next prime is 101010000000953. The reversal of 101010000000901 is 109000000010101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 62700646803876 + 38309353197025 = 7918374^2 + 6189455^2 .

It is a cyclic number.

It is not a de Polignac number, because 101010000000901 - 2¹⁷ = 101009999869829 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101010000000991) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50505000000450 + 50505000000451.

It is an arithmetic number, because the mean of its divisors is an integer number (50505000000451).

Almost surely, 2^{101010000000901} is an apocalyptic number.

It is an amenable number.

101010000000901 is a deficient number, since it is larger than the sum of its proper divisors (1).

101010000000901 is an equidigital number, since it uses as much as digits as its factorization.

101010000000901 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9, while the sum is 13.

The spelling of 101010000000901 in words is "one hundred one trillion, ten billion, nine hundred one", and thus it is an aban number.