111101118101 has 2 divisors, whose sum is σ = 111101118102. Its totient is φ = 111101118100.

The previous prime is 111101118097. The next prime is 111101118169. The reversal of 111101118101 is 101811101111.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 90164475076 + 20936643025 = 300274^2 + 144695^2 .

It is a cyclic number.

It is not a de Polignac number, because 111101118101 - 2² = 111101118097 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 111101118101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (111101118901) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55550559050 + 55550559051.

It is an arithmetic number, because the mean of its divisors is an integer number (55550559051).

Almost surely, 2^111101118101 is an apocalyptic number.

It is an amenable number.

111101118101 is a deficient number, since it is larger than the sum of its proper divisors (1).

111101118101 is an equidigital number, since it uses as much as digits as its factorization.

111101118101 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 17.

Adding to 111101118101 its reverse (101811101111), we get a palindrome (212912219212).

It can be divided in two parts, 11110 and 1118101, that added together give a palindrome (1129211).

The spelling of 111101118101 in words is "one hundred eleven billion, one hundred one million, one hundred eighteen thousand, one hundred one".