112414102101 has 50 divisors (see below), whose sum is σ = 195903794262. Its totient is φ = 64236518640.

The previous prime is 112414102069. The next prime is 112414102103. The reversal of 112414102101 is 101201414211.

112414102101 is a `hidden beast` number, since 1 + 1 + 2 + 41 + 410 + 210 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 83437211025 + 28976891076 = 288855^2 + 170226^2 .

It is not a de Polignac number, because 112414102101 - 2⁵ = 112414102069 is a prime.

It is a super-2 number, since 2×112414102101² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112414102103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 94530 + ... + 483491.

Almost surely, 2^112414102101 is an apocalyptic number.

It is an amenable number.

112414102101 is a deficient number, since it is larger than the sum of its proper divisors (83489692161).

112414102101 is an frugal number, since it uses more digits than its factorization.

112414102101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578061 (or 578031 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 112414102101 its reverse (101201414211), we get a palindrome (213615516312).

The spelling of 112414102101 in words is "one hundred twelve billion, four hundred fourteen million, one hundred two thousand, one hundred one".