2120011000993 has 2 divisors, whose sum is σ = 2120011000994. Its totient is φ = 2120011000992.

The previous prime is 2120011000979. The next prime is 2120011001029. The reversal of 2120011000993 is 3990001100212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1074232748304 + 1045778252689 = 1036452^2 + 1022633^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2120011000993 is a prime.

It is not a weakly prime, because it can be changed into another prime (2120011000193) 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, 1060005500496 + 1060005500497.

It is an arithmetic number, because the mean of its divisors is an integer number (1060005500497).

Almost surely, 2^{2120011000993} is an apocalyptic number.

It is an amenable number.

2120011000993 is a deficient number, since it is larger than the sum of its proper divisors (1).

2120011000993 is an equidigital number, since it uses as much as digits as its factorization.

2120011000993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 28.

The spelling of 2120011000993 in words is "two trillion, one hundred twenty billion, eleven million, nine hundred ninety-three", and thus it is an aban number.