2110100100217 has 2 divisors, whose sum is σ = 2110100100218. Its totient is φ = 2110100100216.

The previous prime is 2110100100167. The next prime is 2110100100221. The reversal of 2110100100217 is 7120010010112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1925278351936 + 184821748281 = 1387544^2 + 429909^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2110100100217 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2110100100217.

It is not a weakly prime, because it can be changed into another prime (2110100109217) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1055050050108 + 1055050050109.

It is an arithmetic number, because the mean of its divisors is an integer number (1055050050109).

Almost surely, 2^{2110100100217} is an apocalyptic number.

It is an amenable number.

2110100100217 is a deficient number, since it is larger than the sum of its proper divisors (1).

2110100100217 is an equidigital number, since it uses as much as digits as its factorization.

2110100100217 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 28, while the sum is 16.

Adding to 2110100100217 its reverse (7120010010112), we get a palindrome (9230110110329).

The spelling of 2110100100217 in words is "two trillion, one hundred ten billion, one hundred million, one hundred thousand, two hundred seventeen".