112100110101 has 72 divisors (see below), whose sum is σ = 192236859360. Its totient is φ = 62742423744.

The previous prime is 112100110079. The next prime is 112100110117. The reversal of 112100110101 is 101011001211.

It is not a de Polignac number, because 112100110101 - 2⁶ = 112100110037 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 (112100110901) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15025110 + ... + 15032568.

It is an arithmetic number, because the mean of its divisors is an integer number (2669956380).

Almost surely, 2^112100110101 is an apocalyptic number.

It is an amenable number.

112100110101 is a deficient number, since it is larger than the sum of its proper divisors (80136749259).

112100110101 is a wasteful number, since it uses less digits than its factorization.

112100110101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8175 (or 8165 counting only the distinct ones).

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

Adding to 112100110101 its reverse (101011001211), we get a palindrome (213111111312).

The spelling of 112100110101 in words is "one hundred twelve billion, one hundred million, one hundred ten thousand, one hundred one".