10000100100111 has 16 divisors (see below), whose sum is σ = 14600906622720. Its totient is φ = 6037622361920.

The previous prime is 10000100100091. The next prime is 10000100100113. The reversal of 10000100100111 is 11100100100001.

It is a cyclic number.

It is not a de Polignac number, because 10000100100111 - 2¹⁵ = 10000100067343 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10000100100111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000100100113) 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, 576100326 + ... + 576117683.

It is an arithmetic number, because the mean of its divisors is an integer number (912556663920).

Almost surely, 2^{10000100100111} is an apocalyptic number.

10000100100111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10000100100111 is a deficient number, since it is larger than the sum of its proper divisors (4600806522609).

10000100100111 is a wasteful number, since it uses less digits than its factorization.

10000100100111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1152218286.

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

Adding to 10000100100111 its reverse (11100100100001), we get a palindrome (21100200200112).

The spelling of 10000100100111 in words is "ten trillion, one hundred million, one hundred thousand, one hundred eleven".