111111011012101 has 2 divisors, whose sum is σ = 111111011012102. Its totient is φ = 111111011012100.

The previous prime is 111111011012093. The next prime is 111111011012129. The reversal of 111111011012101 is 101210110111111.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 94891269676225 + 16219741335876 = 9741215^2 + 4027374^2 .

It is a cyclic number.

It is not a de Polignac number, because 111111011012101 - 2³ = 111111011012093 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (111111011012401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55555505506050 + 55555505506051.

It is an arithmetic number, because the mean of its divisors is an integer number (55555505506051).

Almost surely, 2^{111111011012101} is an apocalyptic number.

It is an amenable number.

111111011012101 is a deficient number, since it is larger than the sum of its proper divisors (1).

111111011012101 is an equidigital number, since it uses as much as digits as its factorization.

111111011012101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2, while the sum is 13.

Adding to 111111011012101 its reverse (101210110111111), we get a palindrome (212321121123212).

The spelling of 111111011012101 in words is "one hundred eleven trillion, one hundred eleven billion, eleven million, twelve thousand, one hundred one".