121111110112122 has 48 divisors (see below), whose sum is σ = 283643120484360. Its totient is φ = 37126425499776.

The previous prime is 121111110112117. The next prime is 121111110112129. The reversal of 121111110112122 is 221211011111121.

It can be written as a sum of positive squares in 4 ways, for example, as 27578787905601 + 93532322206521 = 5251551^2 + 9671211^2 .

It is a super-2 number, since 2×121111110112122² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 121111110112095 and 121111110112104.

It is not an unprimeable number, because it can be changed into a prime (121111110112129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 961960933 + ... + 962086824.

Almost surely, 2^{121111110112122} is an apocalyptic number.

121111110112122 is an abundant number, since it is smaller than the sum of its proper divisors (162532010372238).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

121111110112122 is a wasteful number, since it uses less digits than its factorization.

121111110112122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1924048047 (or 1924048044 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 18.

Adding to 121111110112122 its reverse (221211011111121), we get a palindrome (342322121223243).

The spelling of 121111110112122 in words is "one hundred twenty-one trillion, one hundred eleven billion, one hundred ten million, one hundred twelve thousand, one hundred twenty-two".