1101111116101 has 2 divisors, whose sum is σ = 1101111116102. Its totient is φ = 1101111116100.

The previous prime is 1101111116059. The next prime is 1101111116143. The reversal of 1101111116101 is 1016111111011.

It is a balanced prime because it is at equal distance from previous prime (1101111116059) and next prime (1101111116143).

It can be written as a sum of positive squares in only one way, i.e., 1075638636900 + 25472479201 = 1037130^2 + 159601^2 .

It is a cyclic number.

It is not a de Polignac number, because 1101111116101 - 2²⁵ = 1101077561669 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1101111416101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 550555558050 + 550555558051.

It is an arithmetic number, because the mean of its divisors is an integer number (550555558051).

Almost surely, 2^{1101111116101} is an apocalyptic number.

It is an amenable number.

1101111116101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1101111116101 is an equidigital number, since it uses as much as digits as its factorization.

1101111116101 is an evil number, because the sum of its binary digits is even.

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

Adding to 1101111116101 its reverse (1016111111011), we get a palindrome (2117222227112).

The spelling of 1101111116101 in words is "one trillion, one hundred one billion, one hundred eleven million, one hundred sixteen thousand, one hundred one".