10121011144 has 16 divisors (see below), whose sum is σ = 18987872220. Its totient is φ = 5057578560.

The previous prime is 10121011111. The next prime is 10121011157. The reversal of 10121011144 is 44111012101.

10121011144 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 10106280900 + 14730244 = 100530^2 + 3838^2 .

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, 351147 + ... + 378874.

Almost surely, 2^10121011144 is an apocalyptic number.

It is an amenable number.

10121011144 is a deficient number, since it is larger than the sum of its proper divisors (8866861076).

10121011144 is a wasteful number, since it uses less digits than its factorization.

10121011144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731760 (or 731756 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 10121011144 its reverse (44111012101), we get a palindrome (54232023245).

The spelling of 10121011144 in words is "ten billion, one hundred twenty-one million, eleven thousand, one hundred forty-four".