2120011000901 has 2 divisors, whose sum is σ = 2120011000902. Its totient is φ = 2120011000900.

The previous prime is 2120011000799. The next prime is 2120011000937. The reversal of 2120011000901 is 1090001100212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1820529532900 + 299481468001 = 1349270^2 + 547249^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2120011000901 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2120011000901.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2120011050901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1060005500450 + 1060005500451.

It is an arithmetic number, because the mean of its divisors is an integer number (1060005500451).

Almost surely, 2^{2120011000901} is an apocalyptic number.

It is an amenable number.

2120011000901 is a deficient number, since it is larger than the sum of its proper divisors (1).

2120011000901 is an equidigital number, since it uses as much as digits as its factorization.

2120011000901 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 17.

The spelling of 2120011000901 in words is "two trillion, one hundred twenty billion, eleven million, nine hundred one", and thus it is an aban number.