2100122835233 has 2 divisors, whose sum is σ = 2100122835234. Its totient is φ = 2100122835232.

The previous prime is 2100122835197. The next prime is 2100122835259. The reversal of 2100122835233 is 3325382210012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1955458234129 + 144664601104 = 1398377^2 + 380348^2 .

It is a cyclic number.

It is not a de Polignac number, because 2100122835233 - 2¹⁸ = 2100122573089 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2100122835233.

It is not a weakly prime, because it can be changed into another prime (2100122835133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050061417616 + 1050061417617.

It is an arithmetic number, because the mean of its divisors is an integer number (1050061417617).

Almost surely, 2^{2100122835233} is an apocalyptic number.

It is an amenable number.

2100122835233 is a deficient number, since it is larger than the sum of its proper divisors (1).

2100122835233 is an equidigital number, since it uses as much as digits as its factorization.

2100122835233 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 17280, while the sum is 32.

The spelling of 2100122835233 in words is "two trillion, one hundred billion, one hundred twenty-two million, eight hundred thirty-five thousand, two hundred thirty-three".