1111111110101 has 2 divisors, whose sum is σ = 1111111110102. Its totient is φ = 1111111110100.

The previous prime is 1111111110089. The next prime is 1111111110103. The reversal of 1111111110101 is 1010111111111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 674188788100 + 436922322001 = 821090^2 + 661001^2 .

It is a cyclic number.

It is not a de Polignac number, because 1111111110101 - 2²⁶ = 1111044001237 is a prime.

Together with 1111111110103, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1111111110103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 555555555050 + 555555555051.

It is an arithmetic number, because the mean of its divisors is an integer number (555555555051).

Almost surely, 2^{1111111110101} is an apocalyptic number.

It is an amenable number.

1111111110101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1111111110101 is an equidigital number, since it uses as much as digits as its factorization.

1111111110101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1, while the sum is 11.

Adding to 1111111110101 its reverse (1010111111111), we get a palindrome (2121222221212).

It can be divided in two parts, 11111111 and 10101, that multiplied together give a palindrome (112233332211).

The spelling of 1111111110101 in words is "one trillion, one hundred eleven billion, one hundred eleven million, one hundred ten thousand, one hundred one".