11001011117101 has 2 divisors, whose sum is σ = 11001011117102. Its totient is φ = 11001011117100.

The previous prime is 11001011117093. The next prime is 11001011117137. The reversal of 11001011117101 is 10171111010011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8343426473001 + 2657584644100 = 2888499^2 + 1630210^2 .

It is a cyclic number.

It is not a de Polignac number, because 11001011117101 - 2³ = 11001011117093 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11001011117141) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5500505558550 + 5500505558551.

It is an arithmetic number, because the mean of its divisors is an integer number (5500505558551).

Almost surely, 2^{11001011117101} is an apocalyptic number.

It is an amenable number.

11001011117101 is a deficient number, since it is larger than the sum of its proper divisors (1).

11001011117101 is an equidigital number, since it uses as much as digits as its factorization.

11001011117101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7, while the sum is 16.

Adding to 11001011117101 its reverse (10171111010011), we get a palindrome (21172122127112).

The spelling of 11001011117101 in words is "eleven trillion, one billion, eleven million, one hundred seventeen thousand, one hundred one".