10272891122 has 54 divisors (see below), whose sum is σ = 17264873493. Its totient is φ = 4582229184.

The previous prime is 10272891113. The next prime is 10272891149. The reversal of 10272891122 is 22119827201.

10272891122 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 14 ways, for example, as 1354166401 + 8918724721 = 36799^2 + 94439^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=71669.

It is a Duffinian number.

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 26 ways as a sum of consecutive naturals, for example, 68945504 + ... + 68945652.

Almost surely, 2^10272891122 is an apocalyptic number.

10272891122 is a deficient number, since it is larger than the sum of its proper divisors (6991982371).

10272891122 is an equidigital number, since it uses as much as digits as its factorization.

10272891122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 35.

The spelling of 10272891122 in words is "ten billion, two hundred seventy-two million, eight hundred ninety-one thousand, one hundred twenty-two".