22101211112121 has 32 divisors (see below), whose sum is σ = 33387143811840. Its totient is φ = 14446359849600.

The previous prime is 22101211112059. The next prime is 22101211112131. The reversal of 22101211112121 is 12121111210122.

It is a happy number.

22101211112121 is a `hidden beast` number, since 221 + 0 + 1 + 211 + 112 + 121 = 666.

It is not a de Polignac number, because 22101211112121 - 2¹⁴ = 22101211095737 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22101211112094 and 22101211112103.

It is not an unprimeable number, because it can be changed into a prime (22101211112131) 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 31 ways as a sum of consecutive naturals, for example, 31501260 + ... + 32195213.

It is an arithmetic number, because the mean of its divisors is an integer number (1043348244120).

Almost surely, 2^{22101211112121} is an apocalyptic number.

It is an amenable number.

22101211112121 is a deficient number, since it is larger than the sum of its proper divisors (11285932699719).

22101211112121 is a wasteful number, since it uses less digits than its factorization.

22101211112121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63696734 (or 63696728 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 22101211112121 its reverse (12121111210122), we get a palindrome (34222322322243).

The spelling of 22101211112121 in words is "twenty-two trillion, one hundred one billion, two hundred eleven million, one hundred twelve thousand, one hundred twenty-one".