22101110112121 has 16 divisors (see below), whose sum is σ = 23523233462784. Its totient is φ = 20692556181504.

The previous prime is 22101110112113. The next prime is 22101110112131. The reversal of 22101110112121 is 12121101110122.

It is a cyclic number.

It is not a de Polignac number, because 22101110112121 - 2³ = 22101110112113 is a prime.

It is a super-2 number, since 2×22101110112121² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 22101110112095 and 22101110112104.

It is not an unprimeable number, because it can be changed into a prime (22101110112101) 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 in 15 ways as a sum of consecutive naturals, for example, 111871996 + ... + 112069378.

It is an arithmetic number, because the mean of its divisors is an integer number (1470202091424).

Almost surely, 2^{22101110112121} is an apocalyptic number.

It is an amenable number.

22101110112121 is a deficient number, since it is larger than the sum of its proper divisors (1422123350663).

22101110112121 is a wasteful number, since it uses less digits than its factorization.

22101110112121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231720.

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

Adding to 22101110112121 its reverse (12121101110122), we get a palindrome (34222211222243).

The spelling of 22101110112121 in words is "twenty-two trillion, one hundred one billion, one hundred ten million, one hundred twelve thousand, one hundred twenty-one".