1000100110111 has 16 divisors (see below), whose sum is σ = 1016966716416. Its totient is φ = 983350662336.

The previous prime is 1000100110033. The next prime is 1000100110123. The reversal of 1000100110111 is 1110110010001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1000100110111 - 2⁹ = 1000100109599 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1000100110094 and 1000100110103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000100111111) 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, 121470451 + ... + 121478683.

It is an arithmetic number, because the mean of its divisors is an integer number (63560419776).

Almost surely, 2^{1000100110111} is an apocalyptic number.

1000100110111 is a deficient number, since it is larger than the sum of its proper divisors (16866606305).

1000100110111 is an equidigital number, since it uses as much as digits as its factorization.

1000100110111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15102.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 1000100110111 its reverse (1110110010001), we get a palindrome (2110210120112).

The spelling of 1000100110111 in words is "one trillion, one hundred million, one hundred ten thousand, one hundred eleven".