22111122101121 has 48 divisors (see below), whose sum is σ = 32638394490000. Its totient is φ = 14421068513280.

The previous prime is 22111122101119. The next prime is 22111122101161. The reversal of 22111122101121 is 12110122111122.

It is a happy number.

22111122101121 is a `hidden beast` number, since 221 + 1 + 112 + 210 + 1 + 121 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 861889424400 + 21249232676721 = 928380^2 + 4609689^2 .

It is not a de Polignac number, because 22111122101121 - 2¹ = 22111122101119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22111122101094 and 22111122101103.

It is not an unprimeable number, because it can be changed into a prime (22111122101111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 112322901 + ... + 112519581.

It is an arithmetic number, because the mean of its divisors is an integer number (679966551875).

Almost surely, 2^{22111122101121} is an apocalyptic number.

It is an amenable number.

22111122101121 is a deficient number, since it is larger than the sum of its proper divisors (10527272388879).

22111122101121 is a wasteful number, since it uses less digits than its factorization.

22111122101121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198146 (or 198143 counting only the distinct ones).

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

Adding to 22111122101121 its reverse (12110122111122), we get a palindrome (34221244212243).

The spelling of 22111122101121 in words is "twenty-two trillion, one hundred eleven billion, one hundred twenty-two million, one hundred one thousand, one hundred twenty-one".