101022122110122 has 12 divisors (see below), whose sum is σ = 218881264571970. Its totient is φ = 33674040703368.

The previous prime is 101022122110079. The next prime is 101022122110177. The reversal of 101022122110122 is 221011221220101.

101022122110122 is a `hidden beast` number, since 101 + 0 + 221 + 221 + 1 + 0 + 122 = 666.

It can be written as a sum of positive squares in only one way, i.e., 76492498508001 + 24529623602121 = 8745999^2 + 4952739^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 5612340117229 = 101022122110122 / (1 + 0 + 1 + 0 + 2 + 2 + 1 + 2 + 2 + 1 + 1 + 0 + 1 + 2 + 2).

It is a junction number, because it is equal to n+sod(n) for n = 101022122110095 and 101022122110104.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2806170058597 + ... + 2806170058632.

Almost surely, 2^{101022122110122} is an apocalyptic number.

101022122110122 is an abundant number, since it is smaller than the sum of its proper divisors (117859142461848).

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

101022122110122 is a wasteful number, since it uses less digits than its factorization.

101022122110122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5612340117237 (or 5612340117234 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 101022122110122 its reverse (221011221220101), we get a palindrome (322033343330223).

The spelling of 101022122110122 in words is "one hundred one trillion, twenty-two billion, one hundred twenty-two million, one hundred ten thousand, one hundred twenty-two".