10100112001 has 32 divisors (see below), whose sum is σ = 11934720000. Its totient is φ = 8369255232.

The previous prime is 10100111999. The next prime is 10100112013. The reversal of 10100112001 is 10021100101.

It is a cyclic number.

It is not a de Polignac number, because 10100112001 - 2¹ = 10100111999 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is not an unprimeable number, because it can be changed into a prime (10100112101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11386380 + ... + 11387266.

It is an arithmetic number, because the mean of its divisors is an integer number (372960000).

Almost surely, 2^10100112001 is an apocalyptic number.

It is an amenable number.

10100112001 is a deficient number, since it is larger than the sum of its proper divisors (1834607999).

10100112001 is an equidigital number, since it uses as much as digits as its factorization.

10100112001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1381.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 10100112001 its reverse (10021100101), we get a palindrome (20121212102).

The spelling of 10100112001 in words is "ten billion, one hundred million, one hundred twelve thousand, one".