100014410001 has 8 divisors (see below), whose sum is σ = 145475505504. Its totient is φ = 60614793920.

The previous prime is 100014409993. The next prime is 100014410009.

100014410001 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (100014409993) and next prime (100014410009).

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 100014410001 - 2³ = 100014409993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100014410009) 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, 1515369816 + ... + 1515369881.

It is an arithmetic number, because the mean of its divisors is an integer number (18184438188).

Almost surely, 2^100014410001 is an apocalyptic number.

100014410001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100014410001 is a deficient number, since it is larger than the sum of its proper divisors (45461095503).

100014410001 is a wasteful number, since it uses less digits than its factorization.

100014410001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3030739711.

The product of its (nonzero) digits is 16, while the sum is 12.

It can be divided in two parts, 100014 and 410001, that added together give a palindrome (510015).

The spelling of 100014410001 in words is "one hundred billion, fourteen million, four hundred ten thousand, one".