100113112301 has 8 divisors (see below), whose sum is σ = 100796735424. Its totient is φ = 99431811360.

The previous prime is 100113112247. The next prime is 100113112303. The reversal of 100113112301 is 103211311001.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100113112301 - 2⁶ = 100113112237 is a prime.

It is a super-3 number, since 3×100113112301³ (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100113112303) 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 7 ways as a sum of consecutive naturals, for example, 493985 + ... + 666518.

It is an arithmetic number, because the mean of its divisors is an integer number (12599591928).

Almost surely, 2^100113112301 is an apocalyptic number.

It is an amenable number.

100113112301 is a deficient number, since it is larger than the sum of its proper divisors (683623123).

100113112301 is a wasteful number, since it uses less digits than its factorization.

100113112301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1161091.

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 100113112301 its reverse (103211311001), we get a palindrome (203324423302).

The spelling of 100113112301 in words is "one hundred billion, one hundred thirteen million, one hundred twelve thousand, three hundred one".