22101111113103 has 24 divisors (see below), whose sum is σ = 34826166535680. Its totient is φ = 13394546154960.

The previous prime is 22101111113089. The next prime is 22101111113111. The reversal of 22101111113103 is 30131111110122.

It is not a de Polignac number, because 22101111113103 - 2¹⁰ = 22101111112079 is a prime.

It is a super-2 number, since 2×22101111113103² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22101111113113) 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 in 23 ways as a sum of consecutive naturals, for example, 25664800 + ... + 26511962.

It is an arithmetic number, because the mean of its divisors is an integer number (1451090272320).

Almost surely, 2^{22101111113103} is an apocalyptic number.

22101111113103 is a deficient number, since it is larger than the sum of its proper divisors (12725055422577).

22101111113103 is a wasteful number, since it uses less digits than its factorization.

22101111113103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1110699 (or 1110696 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 22101111113103 its reverse (30131111110122), we get a palindrome (52232222223225).

The spelling of 22101111113103 in words is "twenty-two trillion, one hundred one billion, one hundred eleven million, one hundred thirteen thousand, one hundred three".