10220112022122 has 64 divisors (see below), whose sum is σ = 23699749109760. Its totient is φ = 3258457381872.

The previous prime is 10220112022121. The next prime is 10220112022123. The reversal of 10220112022122 is 22122021102201.

It is a happy number.

10220112022122 is a `hidden beast` number, since 102 + 201 + 120 + 221 + 22 = 666.

It is an interprime number because it is at equal distance from previous prime (10220112022121) and next prime (10220112022123).

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 = 10220112022095 and 10220112022104.

It is not an unprimeable number, because it can be changed into a prime (10220112022121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34108923 + ... + 34407249.

It is an arithmetic number, because the mean of its divisors is an integer number (370308579840).

Almost surely, 2^{10220112022122} is an apocalyptic number.

10220112022122 is an abundant number, since it is smaller than the sum of its proper divisors (13479637087638).

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

10220112022122 is a wasteful number, since it uses less digits than its factorization.

10220112022122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325944 (or 325938 counting only the distinct ones).

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

Adding to 10220112022122 its reverse (22122021102201), we get a palindrome (32342133124323).

The spelling of 10220112022122 in words is "ten trillion, two hundred twenty billion, one hundred twelve million, twenty-two thousand, one hundred twenty-two".