10111112001 has 12 divisors (see below), whose sum is σ = 14609293140. Its totient is φ = 6738732000.

The previous prime is 10111111963. The next prime is 10111112003. The reversal of 10111112001 is 10021111101.

It can be written as a sum of positive squares in 2 ways, for example, as 9840838401 + 270273600 = 99201^2 + 16440^2 .

It is not a de Polignac number, because 10111112001 - 2⁷ = 10111111873 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 (10111112003) 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, 135250 + ... + 196251.

It is an arithmetic number, because the mean of its divisors is an integer number (1217441095).

Almost surely, 2^10111112001 is an apocalyptic number.

It is an amenable number.

10111112001 is a deficient number, since it is larger than the sum of its proper divisors (4498181139).

10111112001 is a wasteful number, since it uses less digits than its factorization.

10111112001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334896 (or 334893 counting only the distinct ones).

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

Adding to 10111112001 its reverse (10021111101), we get a palindrome (20132223102).

The spelling of 10111112001 in words is "ten billion, one hundred eleven million, one hundred twelve thousand, one".