111110101106101 has 2 divisors, whose sum is σ = 111110101106102. Its totient is φ = 111110101106100.

The previous prime is 111110101106077. The next prime is 111110101106113. The reversal of 111110101106101 is 101601101011111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 110163811851025 + 946289255076 = 10495895^2 + 972774^2 .

It is a cyclic number.

It is not a de Polignac number, because 111110101106101 - 2²⁵ = 111110067551669 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (111110101106131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55555050553050 + 55555050553051.

It is an arithmetic number, because the mean of its divisors is an integer number (55555050553051).

Almost surely, 2^{111110101106101} is an apocalyptic number.

It is an amenable number.

111110101106101 is a deficient number, since it is larger than the sum of its proper divisors (1).

111110101106101 is an equidigital number, since it uses as much as digits as its factorization.

111110101106101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6, while the sum is 16.

Adding to 111110101106101 its reverse (101601101011111), we get a palindrome (212711202117212).

The spelling of 111110101106101 in words is "one hundred eleven trillion, one hundred ten billion, one hundred one million, one hundred six thousand, one hundred one".