101122000222122 has 64 divisors (see below), whose sum is σ = 245196374814720. Its totient is φ = 30636513889200.

The previous prime is 101122000222081. The next prime is 101122000222123. The reversal of 101122000222122 is 221222000221101.

It is a happy number.

101122000222122 is a `hidden beast` number, since 10 + 112 + 200 + 0 + 222 + 122 = 666.

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 = 101122000222095 and 101122000222104.

It is not an unprimeable number, because it can be changed into a prime (101122000222123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15305404 + ... + 20892567.

It is an arithmetic number, because the mean of its divisors is an integer number (3831193356480).

Almost surely, 2^{101122000222122} is an apocalyptic number.

101122000222122 is an abundant number, since it is smaller than the sum of its proper divisors (144074374592598).

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

101122000222122 is a wasteful number, since it uses less digits than its factorization.

101122000222122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36202696 (or 36202690 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 101122000222122 its reverse (221222000221101), we get a palindrome (322344000443223).

The spelling of 101122000222122 in words is "one hundred one trillion, one hundred twenty-two billion, two hundred twenty-two thousand, one hundred twenty-two".