100112101100001 has 24 divisors (see below), whose sum is σ = 144840466577664. Its totient is φ = 66633367587840.

The previous prime is 100112101099987. The next prime is 100112101100017. The reversal of 100112101100001 is 100001101211001.

It is not a de Polignac number, because 100112101100001 - 2³⁹ = 99562345286113 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 (100112101100051) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99458700 + ... + 100460226.

It is an arithmetic number, because the mean of its divisors is an integer number (6035019440736).

Almost surely, 2^{100112101100001} is an apocalyptic number.

It is an amenable number.

100112101100001 is a deficient number, since it is larger than the sum of its proper divisors (44728365477663).

100112101100001 is a wasteful number, since it uses less digits than its factorization.

100112101100001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1019501 (or 1019498 counting only the distinct ones).

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

Adding to 100112101100001 its reverse (100001101211001), we get a palindrome (200113202311002).

The spelling of 100112101100001 in words is "one hundred trillion, one hundred twelve billion, one hundred one million, one hundred thousand, one".