10112121122 has 8 divisors (see below), whose sum is σ = 15168629916. Its totient is φ = 5055911152.

The previous prime is 10112121109. The next prime is 10112121133. The reversal of 10112121122 is 22112121101.

10112121122 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 2 ways, for example, as 10088394481 + 23726641 = 100441^2 + 4871^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a junction number, because it is equal to n+sod(n) for n = 10112121097 and 10112121106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 54788 + ... + 152400.

Almost surely, 2^10112121122 is an apocalyptic number.

10112121122 is a deficient number, since it is larger than the sum of its proper divisors (5056508794).

10112121122 is an equidigital number, since it uses as much as digits as its factorization.

10112121122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149412.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10112121122 its reverse (22112121101), we get a palindrome (32224242223).

The spelling of 10112121122 in words is "ten billion, one hundred twelve million, one hundred twenty-one thousand, one hundred twenty-two".