22100100009917 has 2 divisors, whose sum is σ = 22100100009918. Its totient is φ = 22100100009916.

The previous prime is 22100100009893. The next prime is 22100100010049. The reversal of 22100100009917 is 71990000100122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11442395440921 + 10657704568996 = 3382661^2 + 3264614^2 .

It is a cyclic number.

It is not a de Polignac number, because 22100100009917 - 2⁸ = 22100100009661 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22100100089917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11050050004958 + 11050050004959.

It is an arithmetic number, because the mean of its divisors is an integer number (11050050004959).

Almost surely, 2^{22100100009917} is an apocalyptic number.

It is an amenable number.

22100100009917 is a deficient number, since it is larger than the sum of its proper divisors (1).

22100100009917 is an equidigital number, since it uses as much as digits as its factorization.

22100100009917 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2268, while the sum is 32.

The spelling of 22100100009917 in words is "twenty-two trillion, one hundred billion, one hundred million, nine thousand, nine hundred seventeen".