2100938470417 has 2 divisors, whose sum is σ = 2100938470418. Its totient is φ = 2100938470416.

The previous prime is 2100938470391. The next prime is 2100938470427. The reversal of 2100938470417 is 7140748390012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1810184575761 + 290753894656 = 1345431^2 + 539216^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2100938470417 is a prime.

It is not a weakly prime, because it can be changed into another prime (2100938470427) 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, 1050469235208 + 1050469235209.

It is an arithmetic number, because the mean of its divisors is an integer number (1050469235209).

Almost surely, 2^{2100938470417} is an apocalyptic number.

It is an amenable number.

2100938470417 is a deficient number, since it is larger than the sum of its proper divisors (1).

2100938470417 is an equidigital number, since it uses as much as digits as its factorization.

2100938470417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 338688, while the sum is 46.

The spelling of 2100938470417 in words is "two trillion, one hundred billion, nine hundred thirty-eight million, four hundred seventy thousand, four hundred seventeen".