1011101111101 has 2 divisors, whose sum is σ = 1011101111102. Its totient is φ = 1011101111100.

The previous prime is 1011101111081. The next prime is 1011101111123. The reversal of 1011101111101 is 1011111011101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 724667423076 + 286433688025 = 851274^2 + 535195^2 .

It is an emirp because it is prime and its reverse (1011111011101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1011101111101 - 2¹⁹ = 1011100586813 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1011101111161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505550555550 + 505550555551.

It is an arithmetic number, because the mean of its divisors is an integer number (505550555551).

Almost surely, 2^{1011101111101} is an apocalyptic number.

It is an amenable number.

1011101111101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1011101111101 is an equidigital number, since it uses as much as digits as its factorization.

1011101111101 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 10.

Adding to 1011101111101 its reverse (1011111011101), we get a palindrome (2022212122202).

The spelling of 1011101111101 in words is "one trillion, eleven billion, one hundred one million, one hundred eleven thousand, one hundred one".