100111122102221 has 16 divisors (see below), whose sum is σ = 102826406415360. Its totient is φ = 97433602081920.

The previous prime is 100111122102217. The next prime is 100111122102223. The reversal of 100111122102221 is 122201221111001.

It is a cyclic number.

It is not a de Polignac number, because 100111122102221 - 2² = 100111122102217 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100111122102221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100111122102223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4985756 + ... + 15002666.

It is an arithmetic number, because the mean of its divisors is an integer number (6426650400960).

Almost surely, 2^{100111122102221} is an apocalyptic number.

It is an amenable number.

100111122102221 is a deficient number, since it is larger than the sum of its proper divisors (2715284313139).

100111122102221 is a wasteful number, since it uses less digits than its factorization.

100111122102221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10018796.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 100111122102221 its reverse (122201221111001), we get a palindrome (222312343213222).

The spelling of 100111122102221 in words is "one hundred trillion, one hundred eleven billion, one hundred twenty-two million, one hundred two thousand, two hundred twenty-one".