100112111001 has 16 divisors (see below), whose sum is σ = 169501987200. Its totient is φ = 57206920464.

The previous prime is 100112110999. The next prime is 100112111003. The reversal of 100112111001 is 100111211001.

It is an interprime number because it is at equal distance from previous prime (100112110999) and next prime (100112111003).

It is not a de Polignac number, because 100112111001 - 2¹ = 100112110999 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 (100112111003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 264846666 + ... + 264847043.

It is an arithmetic number, because the mean of its divisors is an integer number (10593874200).

Almost surely, 2^100112111001 is an apocalyptic number.

It is an amenable number.

100112111001 is a deficient number, since it is larger than the sum of its proper divisors (69389876199).

100112111001 is an equidigital number, since it uses as much as digits as its factorization.

100112111001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529693725 (or 529693719 counting only the distinct ones).

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

Adding to 100112111001 its reverse (100111211001), we get a palindrome (200223322002).

The spelling of 100112111001 in words is "one hundred billion, one hundred twelve million, one hundred eleven thousand, one".