201011101101101 has 2 divisors, whose sum is σ = 201011101101102. Its totient is φ = 201011101101100.

The previous prime is 201011101101089. The next prime is 201011101101103. The reversal of 201011101101101 is 101101101110102.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 200718084585001 + 293016516100 = 14167501^2 + 541310^2 .

It is a cyclic number.

It is not a de Polignac number, because 201011101101101 - 2⁴² = 196613054589997 is a prime.

Together with 201011101101103, 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 (201011101101103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100505550550550 + 100505550550551.

It is an arithmetic number, because the mean of its divisors is an integer number (100505550550551).

Almost surely, 2^{201011101101101} is an apocalyptic number.

It is an amenable number.

201011101101101 is a deficient number, since it is larger than the sum of its proper divisors (1).

201011101101101 is an equidigital number, since it uses as much as digits as its factorization.

201011101101101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 201011101101101 its reverse (101101101110102), we get a palindrome (302112202211203).

Subtracting from 201011101101101 its reverse (101101101110102), we obtain a palindrome (99909999990999).

The spelling of 201011101101101 in words is "two hundred one trillion, eleven billion, one hundred one million, one hundred one thousand, one hundred one".