100014303410001 has 6 divisors (see below), whose sum is σ = 144465104925570. Its totient is φ = 66676202273328.

The previous prime is 100014303409973. The next prime is 100014303410003.

100014303410001 is a `hidden beast` number, since 100 + 0 + 1 + 430 + 34 + 100 + 0 + 1 = 666.

100014303410001 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 86284610680401 + 13729692729600 = 9288951^2 + 3705360^2 .

It is not a de Polignac number, because 100014303410001 - 2²³ = 100014295021393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100014303410003) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5556350189436 + ... + 5556350189453.

It is an arithmetic number, because the mean of its divisors is an integer number (24077517487595).

Almost surely, 2^{100014303410001} is an apocalyptic number.

It is an amenable number.

100014303410001 is a deficient number, since it is larger than the sum of its proper divisors (44450801515569).

100014303410001 is a wasteful number, since it uses less digits than its factorization.

100014303410001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11112700378895 (or 11112700378892 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

It can be divided in two parts, 10001430 and 3410001, that added together give a palindrome (13411431).

The spelling of 100014303410001 in words is "one hundred trillion, fourteen billion, three hundred three million, four hundred ten thousand, one".