10044013121012 has 48 divisors (see below), whose sum is σ = 20042967687120. Its totient is φ = 4362925443072.

The previous prime is 10044013121011. The next prime is 10044013121033. The reversal of 10044013121012 is 21012131044001.

10044013121012 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 8 ways, for example, as 182742570256 + 9861270550756 = 427484^2 + 3140266^2 .

It is a super-2 number, since 2×10044013121012² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10044013121011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72132914 + ... + 72272022.

It is an arithmetic number, because the mean of its divisors is an integer number (417561826815).

Almost surely, 2^{10044013121012} is an apocalyptic number.

It is an amenable number.

10044013121012 is a deficient number, since it is larger than the sum of its proper divisors (9998954566108).

10044013121012 is a wasteful number, since it uses less digits than its factorization.

10044013121012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220820 (or 220818 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 10044013121012 its reverse (21012131044001), we get a palindrome (31056144165013).

The spelling of 10044013121012 in words is "ten trillion, forty-four billion, thirteen million, one hundred twenty-one thousand, twelve".