100110112101 has 6 divisors (see below), whose sum is σ = 144603495270. Its totient is φ = 66740074728.

The previous prime is 100110112097. The next prime is 100110112171. The reversal of 100110112101 is 101211011001.

It can be written as a sum of positive squares in only one way, i.e., 69711840900 + 30398271201 = 264030^2 + 174351^2 .

It is not a de Polignac number, because 100110112101 - 2² = 100110112097 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 11123345789 = 100110112101 / (1 + 0 + 0 + 1 + 1 + 0 + 1 + 1 + 2 + 1 + 0 + 1).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100110112171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5561672886 + ... + 5561672903.

It is an arithmetic number, because the mean of its divisors is an integer number (24100582545).

Almost surely, 2^100110112101 is an apocalyptic number.

It is an amenable number.

100110112101 is a deficient number, since it is larger than the sum of its proper divisors (44493383169).

100110112101 is a wasteful number, since it uses less digits than its factorization.

100110112101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11123345795 (or 11123345792 counting only the distinct ones).

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

Adding to 100110112101 its reverse (101211011001), we get a palindrome (201321123102).

The spelling of 100110112101 in words is "one hundred billion, one hundred ten million, one hundred twelve thousand, one hundred one".