10000111112001 has 12 divisors (see below), whose sum is σ = 14481737605140. Its totient is φ = 6649602588000.

The previous prime is 10000111111999. The next prime is 10000111112059. The reversal of 10000111112001 is 10021111100001.

It can be written as a sum of positive squares in 2 ways, for example, as 660969000000 + 9339142112001 = 813000^2 + 3056001^2 .

It is not a de Polignac number, because 10000111112001 - 2¹ = 10000111111999 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 (10000111110001) 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, 1428175750 + ... + 1428182751.

It is an arithmetic number, because the mean of its divisors is an integer number (1206811467095).

Almost surely, 2^{10000111112001} is an apocalyptic number.

It is an amenable number.

10000111112001 is a deficient number, since it is larger than the sum of its proper divisors (4481626493139).

10000111112001 is a wasteful number, since it uses less digits than its factorization.

10000111112001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2856358896 (or 2856358893 counting only the distinct ones).

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

Adding to 10000111112001 its reverse (10021111100001), we get a palindrome (20021222212002).

The spelling of 10000111112001 in words is "ten trillion, one hundred eleven million, one hundred twelve thousand, one".