101121122110122 has 24 divisors (see below), whose sum is σ = 219097417577220. Its totient is φ = 33706786394880.

The previous prime is 101121122110067. The next prime is 101121122110207. The reversal of 101121122110122 is 221011221121101.

It is a happy number.

101121122110122 is a `hidden beast` number, since 101 + 1 + 211 + 221 + 10 + 122 = 666.

101121122110122 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 95684022076041 + 5437100034081 = 9781821^2 + 2331759^2 .

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 = 101121122110095 and 101121122110104.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18732597 + ... + 23519192.

Almost surely, 2^{101121122110122} is an apocalyptic number.

101121122110122 is an abundant number, since it is smaller than the sum of its proper divisors (117976295467098).

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

101121122110122 is a wasteful number, since it uses less digits than its factorization.

101121122110122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42384758 (or 42384755 counting only the distinct ones).

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

Adding to 101121122110122 its reverse (221011221121101), we get a palindrome (322132343231223).

The spelling of 101121122110122 in words is "one hundred one trillion, one hundred twenty-one billion, one hundred twenty-two million, one hundred ten thousand, one hundred twenty-two".