101010100000111 has 2 divisors, whose sum is σ = 101010100000112. Its totient is φ = 101010100000110.

The previous prime is 101010100000109. The next prime is 101010100000123. The reversal of 101010100000111 is 111000001010101.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 101010100000111 - 2¹ = 101010100000109 is a prime.

Together with 101010100000109, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 101010100000094 and 101010100000103.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101010100006111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50505050000055 + 50505050000056.

It is an arithmetic number, because the mean of its divisors is an integer number (50505050000056).

Almost surely, 2^{101010100000111} is an apocalyptic number.

101010100000111 is a deficient number, since it is larger than the sum of its proper divisors (1).

101010100000111 is an equidigital number, since it uses as much as digits as its factorization.

101010100000111 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 101010100000111 its reverse (111000001010101), we get a palindrome (212010101010212).

The spelling of 101010100000111 in words is "one hundred one trillion, ten billion, one hundred million, one hundred eleven", and thus it is an aban number.