10011100112001 has 12 divisors (see below), whose sum is σ = 14460575214228. Its totient is φ = 6674021845344.

The previous prime is 10011100111993. The next prime is 10011100112029. The reversal of 10011100112001 is 10021100111001.

It can be written as a sum of positive squares in 2 ways, for example, as 2625206822001 + 7385893290000 = 1620249^2 + 2717700^2 .

It is not a de Polignac number, because 10011100112001 - 2³ = 10011100111993 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (10011100112401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2299870 + ... + 5031063.

It is an arithmetic number, because the mean of its divisors is an integer number (1205047934519).

Almost surely, 2^{10011100112001} is an apocalyptic number.

It is an amenable number.

10011100112001 is a deficient number, since it is larger than the sum of its proper divisors (4449475102227).

10011100112001 is a wasteful number, since it uses less digits than its factorization.

10011100112001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7482672 (or 7482669 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 10011100112001 its reverse (10021100111001), we get a palindrome (20032200223002).

The spelling of 10011100112001 in words is "ten trillion, eleven billion, one hundred million, one hundred twelve thousand, one".