101111100011101 has 2 divisors, whose sum is σ = 101111100011102. Its totient is φ = 101111100011100.

The previous prime is 101111100011071. The next prime is 101111100011123. The reversal of 101111100011101 is 101110001111101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100928344616100 + 182755395001 = 10046310^2 + 427499^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101111100011101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101111100011191) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50555550005550 + 50555550005551.

It is an arithmetic number, because the mean of its divisors is an integer number (50555550005551).

Almost surely, 2^{101111100011101} is an apocalyptic number.

It is an amenable number.

101111100011101 is a deficient number, since it is larger than the sum of its proper divisors (1).

101111100011101 is an equidigital number, since it uses as much as digits as its factorization.

101111100011101 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 10.

Adding to 101111100011101 its reverse (101110001111101), we get a palindrome (202221101122202).

It can be divided in two parts, 10 and 1111100011101, that added together give a palindrome (1111100011111).

The spelling of 101111100011101 in words is "one hundred one trillion, one hundred eleven billion, one hundred million, eleven thousand, one hundred one".