10022112211122 has 48 divisors (see below), whose sum is σ = 23698783675008. Its totient is φ = 3035701801440.

The previous prime is 10022112211093. The next prime is 10022112211169. The reversal of 10022112211122 is 22111221122001.

10022112211122 is a `hidden beast` number, since 100 + 221 + 1 + 221 + 1 + 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 = 10022112211095 and 10022112211104.

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, 10386058 + ... + 11309925.

It is an arithmetic number, because the mean of its divisors is an integer number (493724659896).

Almost surely, 2^{10022112211122} is an apocalyptic number.

10022112211122 is an abundant number, since it is smaller than the sum of its proper divisors (13676671463886).

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

10022112211122 is a wasteful number, since it uses less digits than its factorization.

10022112211122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21698335 (or 21698332 counting only the distinct ones).

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

Adding to 10022112211122 its reverse (22111221122001), we get a palindrome (32133333333123).

The spelling of 10022112211122 in words is "ten trillion, twenty-two billion, one hundred twelve million, two hundred eleven thousand, one hundred twenty-two".