101110222011101 has 2 divisors, whose sum is σ = 101110222011102. Its totient is φ = 101110222011100.

The previous prime is 101110222011079. The next prime is 101110222011133.

101110222011101 is nontrivially palindromic in base 10.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 68407538683225 + 32702683327876 = 8270885^2 + 5718626^2 .

It is a palprime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101110222011101 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101110222031101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50555111005550 + 50555111005551.

It is an arithmetic number, because the mean of its divisors is an integer number (50555111005551).

Almost surely, 2^{101110222011101} is an apocalyptic number.

It is an amenable number.

101110222011101 is a deficient number, since it is larger than the sum of its proper divisors (1).

101110222011101 is an equidigital number, since it uses as much as digits as its factorization.

101110222011101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 14.

The spelling of 101110222011101 in words is "one hundred one trillion, one hundred ten billion, two hundred twenty-two million, eleven thousand, one hundred one".