122112101121 has 16 divisors (see below), whose sum is σ = 165504092160. Its totient is φ = 80071926480.

The previous prime is 122112101093. The next prime is 122112101173. The reversal of 122112101121 is 121101211221.

It is a happy number.

It is not a de Polignac number, because 122112101121 - 2¹⁴ = 122112084737 is a prime.

It is a super-2 number, since 2×122112101121² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 122112101121.

It is not an unprimeable number, because it can be changed into a prime (122112101191) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 917215 + ... + 1041876.

It is an arithmetic number, because the mean of its divisors is an integer number (10344005760).

Almost surely, 2^122112101121 is an apocalyptic number.

It is an amenable number.

122112101121 is a deficient number, since it is larger than the sum of its proper divisors (43391991039).

122112101121 is a wasteful number, since it uses less digits than its factorization.

122112101121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1959436.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 122112101121 its reverse (121101211221), we get a palindrome (243213312342).

The spelling of 122112101121 in words is "one hundred twenty-two billion, one hundred twelve million, one hundred one thousand, one hundred twenty-one".