201121000002101 has 2 divisors, whose sum is σ = 201121000002102. Its totient is φ = 201121000002100.

The previous prime is 201121000002089. The next prime is 201121000002103. The reversal of 201121000002101 is 101200000121102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 201083460552100 + 37539450001 = 14180390^2 + 193751^2 .

It is a cyclic number.

It is not a de Polignac number, because 201121000002101 - 2⁶ = 201121000002037 is a prime.

It is a super-2 number, since 2×201121000002101² (a number of 29 digits) contains 22 as substring.

Together with 201121000002103, 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 (201121000002103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100560500001050 + 100560500001051.

It is an arithmetic number, because the mean of its divisors is an integer number (100560500001051).

Almost surely, 2^{201121000002101} is an apocalyptic number.

It is an amenable number.

201121000002101 is a deficient number, since it is larger than the sum of its proper divisors (1).

201121000002101 is an equidigital number, since it uses as much as digits as its factorization.

201121000002101 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 11.

Adding to 201121000002101 its reverse (101200000121102), we get a palindrome (302321000123203).

The spelling of 201121000002101 in words is "two hundred one trillion, one hundred twenty-one billion, two thousand, one hundred one".