10000000100111 has 32 divisors (see below), whose sum is σ = 11981049292800. Its totient is φ = 8165255616000.

The previous prime is 10000000100107. The next prime is 10000000100263. The reversal of 10000000100111 is 11100100000001.

It is not a de Polignac number, because 10000000100111 - 2² = 10000000100107 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10000000100095 and 10000000100104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000000100011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12258455 + ... + 13048743.

It is an arithmetic number, because the mean of its divisors is an integer number (374407790400).

Almost surely, 2^{10000000100111} is an apocalyptic number.

10000000100111 is a deficient number, since it is larger than the sum of its proper divisors (1981049192689).

10000000100111 is an equidigital number, since it uses as much as digits as its factorization.

10000000100111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 791159.

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 10000000100111 its reverse (11100100000001), we get a palindrome (21100100100112).

The spelling of 10000000100111 in words is "ten trillion, one hundred thousand, one hundred eleven".