100312124324401 has 12 divisors (see below), whose sum is σ = 116247205417680. Its totient is φ = 85828555568960.

The previous prime is 100312124324387. The next prime is 100312124324453. The reversal of 100312124324401 is 104423421213001.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-100312124324401 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100312124324401.

It is not an unprimeable number, because it can be changed into a prime (100312124324471) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15777304831 + ... + 15777311188.

It is an arithmetic number, because the mean of its divisors is an integer number (9687267118140).

Almost surely, 2^{100312124324401} is an apocalyptic number.

100312124324401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100312124324401 is a deficient number, since it is larger than the sum of its proper divisors (15935081093279).

100312124324401 is a wasteful number, since it uses less digits than its factorization.

100312124324401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31554616064 (or 31554616047 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 100312124324401 its reverse (104423421213001), we get a palindrome (204735545537402).

The spelling of 100312124324401 in words is "one hundred trillion, three hundred twelve billion, one hundred twenty-four million, three hundred twenty-four thousand, four hundred one".