201121122102053 has 2 divisors, whose sum is σ = 201121122102054. Its totient is φ = 201121122102052.

The previous prime is 201121122101987. The next prime is 201121122102071. The reversal of 201121122102053 is 350201221121102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 200594449680769 + 526672421284 = 14163137^2 + 725722^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-201121122102053 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (201121122102073) 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, 100560561051026 + 100560561051027.

It is an arithmetic number, because the mean of its divisors is an integer number (100560561051027).

Almost surely, 2^{201121122102053} is an apocalyptic number.

It is an amenable number.

201121122102053 is a deficient number, since it is larger than the sum of its proper divisors (1).

201121122102053 is an equidigital number, since it uses as much as digits as its factorization.

201121122102053 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 480, while the sum is 23.

Adding to 201121122102053 its reverse (350201221121102), we get a palindrome (551322343223155).

The spelling of 201121122102053 in words is "two hundred one trillion, one hundred twenty-one billion, one hundred twenty-two million, one hundred two thousand, fifty-three".