10001000100111 has 16 divisors (see below), whose sum is σ = 14013553048704. Its totient is φ = 6336271587744.

The previous prime is 10001000100097. The next prime is 10001000100121. The reversal of 10001000100111 is 11100100010001.

It is not a de Polignac number, because 10001000100111 - 2¹⁴ = 10001000083727 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10001000100111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001000100121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1047659181 + ... + 1047668726.

It is an arithmetic number, because the mean of its divisors is an integer number (875847065544).

Almost surely, 2^{10001000100111} is an apocalyptic number.

10001000100111 is a deficient number, since it is larger than the sum of its proper divisors (4012552948593).

10001000100111 is a wasteful number, since it uses less digits than its factorization.

10001000100111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2095327990.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 10001000100111 its reverse (11100100010001), we get a palindrome (21101100110112).

The spelling of 10001000100111 in words is "ten trillion, one billion, one hundred thousand, one hundred eleven".