112300101013221 has 96 divisors (see below), whose sum is σ = 183331361041920. Its totient is φ = 65647127040000.

The previous prime is 112300101013207. The next prime is 112300101013229. The reversal of 112300101013221 is 122310101003211.

112300101013221 is a `hidden beast` number, since 1 + 1 + 230 + 0 + 10 + 101 + 322 + 1 = 666.

It is not a de Polignac number, because 112300101013221 - 2¹⁸ = 112300100751077 is a prime.

It is a super-2 number, since 2×112300101013221² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 112300101013194 and 112300101013203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112300101013229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6224706961 + ... + 6224725001.

It is an arithmetic number, because the mean of its divisors is an integer number (1909701677520).

Almost surely, 2^{112300101013221} is an apocalyptic number.

112300101013221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

112300101013221 is a deficient number, since it is larger than the sum of its proper divisors (71031260028699).

112300101013221 is a wasteful number, since it uses less digits than its factorization.

112300101013221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35419 (or 35416 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 112300101013221 its reverse (122310101003211), we get a palindrome (234610202016432).

The spelling of 112300101013221 in words is "one hundred twelve trillion, three hundred billion, one hundred one million, thirteen thousand, two hundred twenty-one".