10011401044112 has 80 divisors (see below), whose sum is σ = 21234788855280. Its totient is φ = 4544219750400.

The previous prime is 10011401044103. The next prime is 10011401044123. The reversal of 10011401044112 is 21144010411001.

It can be written as a sum of positive squares in 8 ways, for example, as 958018118656 + 9053382925456 = 978784^2 + 3008884^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90397412 + ... + 90508092.

It is an arithmetic number, because the mean of its divisors is an integer number (265434860691).

Almost surely, 2^{10011401044112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10011401044112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10617394427640).

10011401044112 is an abundant number, since it is smaller than the sum of its proper divisors (11223387811168).

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

10011401044112 is a wasteful number, since it uses less digits than its factorization.

10011401044112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117892 (or 117886 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 10011401044112 its reverse (21144010411001), we get a palindrome (31155411455113).

The spelling of 10011401044112 in words is "ten trillion, eleven billion, four hundred one million, forty-four thousand, one hundred twelve".