22111211011121 has 8 divisors (see below), whose sum is σ = 22186864308840. Its totient is φ = 22035558995712.

The previous prime is 22111211011091. The next prime is 22111211011133. The reversal of 22111211011121 is 12111011211122.

It can be written as a sum of positive squares in 4 ways, for example, as 8206993096225 + 13904217914896 = 2864785^2 + 3728836^2 .

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 22111211011121 - 2³⁴ = 22094031141937 is a prime.

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 22111211011121.

It is not an unprimeable number, because it can be changed into a prime (22111211011621) 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 7 ways as a sum of consecutive naturals, for example, 45310895 + ... + 45796283.

It is an arithmetic number, because the mean of its divisors is an integer number (2773358038605).

Almost surely, 2^{22111211011121} is an apocalyptic number.

It is an amenable number.

22111211011121 is a deficient number, since it is larger than the sum of its proper divisors (75653297719).

22111211011121 is a wasteful number, since it uses less digits than its factorization.

22111211011121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641155.

The product of its (nonzero) digits is 16, while the sum is 17.

Adding to 22111211011121 its reverse (12111011211122), we get a palindrome (34222222222243).

The spelling of 22111211011121 in words is "twenty-two trillion, one hundred eleven billion, two hundred eleven million, eleven thousand, one hundred twenty-one".