100312424344401 has 16 divisors (see below), whose sum is σ = 138180725895168. Its totient is φ = 64663170987600.

The previous prime is 100312424344381. The next prime is 100312424344421. The reversal of 100312424344401 is 104443424213001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100312424344381) and next prime (100312424344421).

It is not a de Polignac number, because 100312424344401 - 2²⁵ = 100312390789969 is a prime.

It is a super-3 number, since 3×100312424344401³ (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (100312424344421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 454240165 + ... + 454460946.

It is an arithmetic number, because the mean of its divisors is an integer number (8636295368448).

Almost surely, 2^{100312424344401} is an apocalyptic number.

It is an amenable number.

100312424344401 is a deficient number, since it is larger than the sum of its proper divisors (37868301550767).

100312424344401 is a wasteful number, since it uses less digits than its factorization.

100312424344401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 908702332.

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 100312424344401 its reverse (104443424213001), we get a palindrome (204755848557402).

The spelling of 100312424344401 in words is "one hundred trillion, three hundred twelve billion, four hundred twenty-four million, three hundred forty-four thousand, four hundred one".