22121101120121 has 8 divisors (see below), whose sum is σ = 22885810000200. Its totient is φ = 21356519726080.

The previous prime is 22121101120087. The next prime is 22121101120123. The reversal of 22121101120121 is 12102110112122.

It can be written as a sum of positive squares in 4 ways, for example, as 2364951865600 + 19756149254521 = 1537840^2 + 4444789^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 22121101120121 - 2³⁰ = 22120027378297 is a prime.

It is a super-2 number, since 2×22121101120121² (a number of 27 digits) contains 22 as substring.

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 22121101120121.

It is not an unprimeable number, because it can be changed into a prime (22121101120123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31518410 + ... + 32212611.

It is an arithmetic number, because the mean of its divisors is an integer number (2860726250025).

Almost surely, 2^{22121101120121} is an apocalyptic number.

It is an amenable number.

22121101120121 is a deficient number, since it is larger than the sum of its proper divisors (764708880079).

22121101120121 is a wasteful number, since it uses less digits than its factorization.

22121101120121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63743019.

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

Adding to 22121101120121 its reverse (12102110112122), we get a palindrome (34223211232243).

The spelling of 22121101120121 in words is "twenty-two trillion, one hundred twenty-one billion, one hundred one million, one hundred twenty thousand, one hundred twenty-one".