100112110101 has 96 divisors (see below), whose sum is σ = 158934327552. Its totient is φ = 60476129280.

The previous prime is 100112110081. The next prime is 100112110121. The reversal of 100112110101 is 101011211001.

It is an interprime number because it is at equal distance from previous prime (100112110081) and next prime (100112110121).

It is not a de Polignac number, because 100112110101 - 2¹⁴ = 100112093717 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100112110121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 231205581 + ... + 231206013.

It is an arithmetic number, because the mean of its divisors is an integer number (1655565912).

Almost surely, 2^100112110101 is an apocalyptic number.

It is an amenable number.

100112110101 is a deficient number, since it is larger than the sum of its proper divisors (58822217451).

100112110101 is a wasteful number, since it uses less digits than its factorization.

100112110101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 923 (or 920 counting only the distinct ones).

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

Adding to 100112110101 its reverse (101011211001), we get a palindrome (201123321102).

The spelling of 100112110101 in words is "one hundred billion, one hundred twelve million, one hundred ten thousand, one hundred one".