10112221012122 has 48 divisors (see below), whose sum is σ = 21948109565928. Its totient is φ = 3364849382400.

The previous prime is 10112221012109. The next prime is 10112221012171. The reversal of 10112221012122 is 22121012221101.

10112221012122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 9298041434361 + 814179577761 = 3049269^2 + 902319^2 .

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 = 10112221012095 and 10112221012104.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 158484258 + ... + 158548050.

Almost surely, 2^{10112221012122} is an apocalyptic number.

10112221012122 is an abundant number, since it is smaller than the sum of its proper divisors (11835888553806).

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

10112221012122 is a wasteful number, since it uses less digits than its factorization.

10112221012122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79055 (or 79052 counting only the distinct ones).

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

Adding to 10112221012122 its reverse (22121012221101), we get a palindrome (32233233233223).

The spelling of 10112221012122 in words is "ten trillion, one hundred twelve billion, two hundred twenty-one million, twelve thousand, one hundred twenty-two".