122111221101121 has 32 divisors (see below), whose sum is σ = 143792278156800. Its totient is φ = 101519109112320.

The previous prime is 122111221101097. The next prime is 122111221101187. The reversal of 122111221101121 is 121101122111221.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-122111221101121 is a prime.

It is a super-2 number, since 2×122111221101121² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (122111221101521) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1542567340 + ... + 1542646498.

It is an arithmetic number, because the mean of its divisors is an integer number (4493508692400).

Almost surely, 2^{122111221101121} is an apocalyptic number.

It is an amenable number.

122111221101121 is a deficient number, since it is larger than the sum of its proper divisors (21681057055679).

122111221101121 is a wasteful number, since it uses less digits than its factorization.

122111221101121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110449.

The product of its (nonzero) digits is 32, while the sum is 19.

Adding to 122111221101121 its reverse (121101122111221), we get a palindrome (243212343212342).

The spelling of 122111221101121 in words is "one hundred twenty-two trillion, one hundred eleven billion, two hundred twenty-one million, one hundred one thousand, one hundred twenty-one".