1110101118101 has 2 divisors, whose sum is σ = 1110101118102. Its totient is φ = 1110101118100.

The previous prime is 1110101118089. The next prime is 1110101118121. The reversal of 1110101118101 is 1018111010111.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 772243743076 + 337857375025 = 878774^2 + 581255^2 .

It is a cyclic number.

It is not a de Polignac number, because 1110101118101 - 2²⁶ = 1110034009237 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1110101118101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1110101118121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 555050559050 + 555050559051.

It is an arithmetic number, because the mean of its divisors is an integer number (555050559051).

Almost surely, 2^{1110101118101} is an apocalyptic number.

It is an amenable number.

1110101118101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1110101118101 is an equidigital number, since it uses as much as digits as its factorization.

1110101118101 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 1110101118101 its reverse (1018111010111), we get a palindrome (2128212128212).

The spelling of 1110101118101 in words is "one trillion, one hundred ten billion, one hundred one million, one hundred eighteen thousand, one hundred one".