201121200100013 has 2 divisors, whose sum is σ = 201121200100014. Its totient is φ = 201121200100012.

The previous prime is 201121200099929. The next prime is 201121200100043. The reversal of 201121200100013 is 310001002121102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 196423672705129 + 4697527394884 = 14015123^2 + 2167378^2 .

It is a cyclic number.

It is not a de Polignac number, because 201121200100013 - 2⁴² = 196723153588909 is a prime.

It is a super-2 number, since 2×201121200100013² (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 (201121200100043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100560600050006 + 100560600050007.

It is an arithmetic number, because the mean of its divisors is an integer number (100560600050007).

Almost surely, 2^{201121200100013} is an apocalyptic number.

It is an amenable number.

201121200100013 is a deficient number, since it is larger than the sum of its proper divisors (1).

201121200100013 is an equidigital number, since it uses as much as digits as its factorization.

201121200100013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 201121200100013 its reverse (310001002121102), we get a palindrome (511122202221115).

The spelling of 201121200100013 in words is "two hundred one trillion, one hundred twenty-one billion, two hundred million, one hundred thousand, thirteen".