112100110102101 has 32 divisors (see below), whose sum is σ = 172755499161600. Its totient is φ = 63902525402880.

The previous prime is 112100110102081. The next prime is 112100110102157. The reversal of 112100110102101 is 101201011001211.

It is not a de Polignac number, because 112100110102101 - 2¹⁵ = 112100110069333 is a prime.

It is a super-2 number, since 2×112100110102101² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112100110102181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62389021 + ... + 64160658.

It is an arithmetic number, because the mean of its divisors is an integer number (5398609348800).

Almost surely, 2^{112100110102101} is an apocalyptic number.

112100110102101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

112100110102101 is a deficient number, since it is larger than the sum of its proper divisors (60655389059499).

112100110102101 is a wasteful number, since it uses less digits than its factorization.

112100110102101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126551289.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 112100110102101 its reverse (101201011001211), we get a palindrome (213301121103312).

It can be divided in two parts, 112100110 and 102101, that added together give a palindrome (112202211).

The spelling of 112100110102101 in words is "one hundred twelve trillion, one hundred billion, one hundred ten million, one hundred two thousand, one hundred one".