101100222022122 has 20 divisors (see below), whose sum is σ = 226539386383266. Its totient is φ = 33700074007320.

The previous prime is 101100222022117. The next prime is 101100222022141. The reversal of 101100222022122 is 221220222001101.

It is a happy number.

101100222022122 is a `hidden beast` number, since 101 + 100 + 2 + 220 + 221 + 22 = 666.

It can be written as a sum of positive squares in only one way, i.e., 85506102796401 + 15594119225721 = 9246951^2 + 3948939^2 .

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 = 101100222022095 and 101100222022104.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 312037722129 + ... + 312037722452.

Almost surely, 2^{101100222022122} is an apocalyptic number.

101100222022122 is an abundant number, since it is smaller than the sum of its proper divisors (125439164361144).

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

101100222022122 is an equidigital number, since it uses as much as digits as its factorization.

101100222022122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624075444595 (or 624075444586 counting only the distinct ones).

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

Adding to 101100222022122 its reverse (221220222001101), we get a palindrome (322320444023223).

The spelling of 101100222022122 in words is "one hundred one trillion, one hundred billion, two hundred twenty-two million, twenty-two thousand, one hundred twenty-two".