101100100000111 has 2 divisors, whose sum is σ = 101100100000112. Its totient is φ = 101100100000110.

The previous prime is 101100100000063. The next prime is 101100100000129. The reversal of 101100100000111 is 111000001001101.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 101100100000111 - 2¹⁷ = 101100099869039 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101100100000094 and 101100100000103.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101100100400111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50550050000055 + 50550050000056.

It is an arithmetic number, because the mean of its divisors is an integer number (50550050000056).

Almost surely, 2^{101100100000111} is an apocalyptic number.

101100100000111 is a deficient number, since it is larger than the sum of its proper divisors (1).

101100100000111 is an equidigital number, since it uses as much as digits as its factorization.

101100100000111 is an odious number, because the sum of its binary digits is odd.

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

Adding to 101100100000111 its reverse (111000001001101), we get a palindrome (212100101001212).

The spelling of 101100100000111 in words is "one hundred one trillion, one hundred billion, one hundred million, one hundred eleven", and thus it is an aban number.