22001101122121 has 24 divisors (see below), whose sum is σ = 24602898791520. Its totient is φ = 19654015265280.

The previous prime is 22001101122101. The next prime is 22001101122151. The reversal of 22001101122121 is 12122110110022.

It is not a de Polignac number, because 22001101122121 - 2²¹ = 22001099024969 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 22001101122095 and 22001101122104.

It is not an unprimeable number, because it can be changed into a prime (22001101122101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16987305 + ... + 18236521.

It is an arithmetic number, because the mean of its divisors is an integer number (1025120782980).

Almost surely, 2^{22001101122121} is an apocalyptic number.

It is an amenable number.

22001101122121 is a deficient number, since it is larger than the sum of its proper divisors (2601797669399).

22001101122121 is a wasteful number, since it uses less digits than its factorization.

22001101122121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1251765 (or 1251754 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 22001101122121 its reverse (12122110110022), we get a palindrome (34123211232143).

The spelling of 22001101122121 in words is "twenty-two trillion, one billion, one hundred one million, one hundred twenty-two thousand, one hundred twenty-one".