112120100213301 has 48 divisors (see below), whose sum is σ = 167071254292800. Its totient is φ = 72413474999040.

The previous prime is 112120100213293. The next prime is 112120100213389. The reversal of 112120100213301 is 103312001021211.

112120100213301 is a `hidden beast` number, since 1 + 1 + 212 + 0 + 100 + 21 + 330 + 1 = 666.

It is not a de Polignac number, because 112120100213301 - 2³ = 112120100213293 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112120108213301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38438185 + ... + 41252081.

It is an arithmetic number, because the mean of its divisors is an integer number (3480651131100).

Almost surely, 2^{112120100213301} is an apocalyptic number.

It is an amenable number.

112120100213301 is a deficient number, since it is larger than the sum of its proper divisors (54951154079499).

112120100213301 is a wasteful number, since it uses less digits than its factorization.

112120100213301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2814786 (or 2814783 counting only the distinct ones).

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

Adding to 112120100213301 its reverse (103312001021211), we get a palindrome (215432101234512).

The spelling of 112120100213301 in words is "one hundred twelve trillion, one hundred twenty billion, one hundred million, two hundred thirteen thousand, three hundred one".