10100000114001 has 24 divisors (see below), whose sum is σ = 16673877380160. Its totient is φ = 5771130487776.

The previous prime is 10100000113999. The next prime is 10100000114051. The reversal of 10100000114001 is 10041100000101.

It is not a de Polignac number, because 10100000114001 - 2¹ = 10100000113999 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (10100000114051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2908866 + ... + 5353643.

It is an arithmetic number, because the mean of its divisors is an integer number (694744890840).

Almost surely, 2^{10100000114001} is an apocalyptic number.

It is an amenable number.

10100000114001 is a deficient number, since it is larger than the sum of its proper divisors (6573877266159).

10100000114001 is a wasteful number, since it uses less digits than its factorization.

10100000114001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8281925 (or 8281922 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10100000114001 its reverse (10041100000101), we get a palindrome (20141100114102).

The spelling of 10100000114001 in words is "ten trillion, one hundred billion, one hundred fourteen thousand, one".