100113312112229 has 8 divisors (see below), whose sum is σ = 108925824123480. Its totient is φ = 91459584101376.

The previous prime is 100113312112201. The next prime is 100113312112241. The reversal of 100113312112229 is 922211213311001.

It can be written as a sum of positive squares in 4 ways, for example, as 4728985192129 + 95384326920100 = 2174623^2 + 9766490^2 .

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 100113312112229 - 2²⁸ = 100113043676773 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100113312112279) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39695998784 + ... + 39696001305.

It is an arithmetic number, because the mean of its divisors is an integer number (13615728015435).

Almost surely, 2^{100113312112229} is an apocalyptic number.

It is an amenable number.

100113312112229 is a deficient number, since it is larger than the sum of its proper divisors (8812512011251).

100113312112229 is an equidigital number, since it uses as much as digits as its factorization.

100113312112229 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79392000199.

The product of its (nonzero) digits is 1296, while the sum is 29.

The spelling of 100113312112229 in words is "one hundred trillion, one hundred thirteen billion, three hundred twelve million, one hundred twelve thousand, two hundred twenty-nine".