101200022221122 has 48 divisors (see below), whose sum is σ = 245664918824832. Its totient is φ = 29837844387360.

The previous prime is 101200022221093. The next prime is 101200022221147. The reversal of 101200022221122 is 221122220002101.

It is a happy number.

101200022221122 is a `hidden beast` number, since 10 + 1 + 200 + 0 + 222 + 211 + 22 = 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 = 101200022221095 and 101200022221104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6906901098 + ... + 6906915749.

It is an arithmetic number, because the mean of its divisors is an integer number (5118019142184).

Almost surely, 2^{101200022221122} is an apocalyptic number.

101200022221122 is an abundant number, since it is smaller than the sum of its proper divisors (144464896603710).

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

101200022221122 is a wasteful number, since it uses less digits than its factorization.

101200022221122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13813816903 (or 13813816900 counting only the distinct ones).

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

Adding to 101200022221122 its reverse (221122220002101), we get a palindrome (322322242223223).

The spelling of 101200022221122 in words is "one hundred one trillion, two hundred billion, twenty-two million, two hundred twenty-one thousand, one hundred twenty-two".