111010011008101 has 2 divisors, whose sum is σ = 111010011008102. Its totient is φ = 111010011008100.

The previous prime is 111010011008069. The next prime is 111010011008107. The reversal of 111010011008101 is 101800110010111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 88188514483876 + 22821496524225 = 9390874^2 + 4777185^2 .

It is a cyclic number.

It is not a de Polignac number, because 111010011008101 - 2⁵ = 111010011008069 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (111010011008107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55505005504050 + 55505005504051.

It is an arithmetic number, because the mean of its divisors is an integer number (55505005504051).

Almost surely, 2^{111010011008101} is an apocalyptic number.

It is an amenable number.

111010011008101 is a deficient number, since it is larger than the sum of its proper divisors (1).

111010011008101 is an equidigital number, since it uses as much as digits as its factorization.

111010011008101 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 16.

Adding to 111010011008101 its reverse (101800110010111), we get a palindrome (212810121018212).

The spelling of 111010011008101 in words is "one hundred eleven trillion, ten billion, eleven million, eight thousand, one hundred one".