201111012102101 has 2 divisors, whose sum is σ = 201111012102102. Its totient is φ = 201111012102100.

The previous prime is 201111012102073. The next prime is 201111012102257. The reversal of 201111012102101 is 101201210111102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 157622249752900 + 43488762349201 = 12554770^2 + 6594601^2 .

It is a cyclic number.

It is not a de Polignac number, because 201111012102101 - 2²⁶ = 201110944993237 is a prime.

It is a super-2 number, since 2×201111012102101² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (201111012002101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100555506051050 + 100555506051051.

It is an arithmetic number, because the mean of its divisors is an integer number (100555506051051).

Almost surely, 2^{201111012102101} is an apocalyptic number.

It is an amenable number.

201111012102101 is a deficient number, since it is larger than the sum of its proper divisors (1).

201111012102101 is an equidigital number, since it uses as much as digits as its factorization.

201111012102101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 201111012102101 its reverse (101201210111102), we get a palindrome (302312222213203).

The spelling of 201111012102101 in words is "two hundred one trillion, one hundred eleven billion, twelve million, one hundred two thousand, one hundred one".