100112121314013 has 32 divisors (see below), whose sum is σ = 151580477001600. Its totient is φ = 58386554044416.

The previous prime is 100112121313951. The next prime is 100112121314041. The reversal of 100112121314013 is 310413121211001.

It is a happy number.

It is not a de Polignac number, because 100112121314013 - 2²⁵ = 100112087759581 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100112121314063) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 974617348 + ... + 974720061.

It is an arithmetic number, because the mean of its divisors is an integer number (4736889906300).

Almost surely, 2^{100112121314013} is an apocalyptic number.

It is an amenable number.

100112121314013 is a deficient number, since it is larger than the sum of its proper divisors (51468355687587).

100112121314013 is a wasteful number, since it uses less digits than its factorization.

100112121314013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1949337501.

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 100112121314013 its reverse (310413121211001), we get a palindrome (410525242525014).

The spelling of 100112121314013 in words is "one hundred trillion, one hundred twelve billion, one hundred twenty-one million, three hundred fourteen thousand, thirteen".