10022221022112 has 72 divisors (see below), whose sum is σ = 30693051891684. Its totient is φ = 3083760313344.

The previous prime is 10022221022111. The next prime is 10022221022119. The reversal of 10022221022112 is 21122012222001.

It is a happy number.

10022221022112 is a `hidden beast` number, since 1 + 0 + 0 + 222 + 210 + 221 + 12 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8644799561616 + 1377421460496 = 2940204^2 + 1173636^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10022221022111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1338433893 + ... + 1338441380.

Almost surely, 2^{10022221022112} is an apocalyptic number.

10022221022112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10022221022112 is an abundant number, since it is smaller than the sum of its proper divisors (20670830869572).

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

10022221022112 is a wasteful number, since it uses less digits than its factorization.

10022221022112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2676875302 (or 2676875291 counting only the distinct ones).

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

Adding to 10022221022112 its reverse (21122012222001), we get a palindrome (31144233244113).

The spelling of 10022221022112 in words is "ten trillion, twenty-two billion, two hundred twenty-one million, twenty-two thousand, one hundred twelve".