10100000110111 has 2 divisors, whose sum is σ = 10100000110112. Its totient is φ = 10100000110110.

The previous prime is 10100000110103. The next prime is 10100000110153. The reversal of 10100000110111 is 11101100000101.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 10100000110111 - 2³ = 10100000110103 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10100000110094 and 10100000110103.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10100000111111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050000055055 + 5050000055056.

It is an arithmetic number, because the mean of its divisors is an integer number (5050000055056).

Almost surely, 2^{10100000110111} is an apocalyptic number.

10100000110111 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100000110111 is an equidigital number, since it uses as much as digits as its factorization.

10100000110111 is an evil number, because the sum of its binary digits is even.

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

Adding to 10100000110111 its reverse (11101100000101), we get a palindrome (21201100110212).

The spelling of 10100000110111 in words is "ten trillion, one hundred billion, one hundred ten thousand, one hundred eleven".