201200202121013 has 2 divisors, whose sum is σ = 201200202121014. Its totient is φ = 201200202121012.

The previous prime is 201200202121007. The next prime is 201200202121069. The reversal of 201200202121013 is 310121202002102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 114973786191889 + 86226415929124 = 10722583^2 + 9285818^2 .

It is a cyclic number.

It is not a de Polignac number, because 201200202121013 - 2⁴ = 201200202120997 is a prime.

It is a super-2 number, since 2×201200202121013² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 201200202120982 and 201200202121000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (201200202121003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100600101060506 + 100600101060507.

It is an arithmetic number, because the mean of its divisors is an integer number (100600101060507).

Almost surely, 2^{201200202121013} is an apocalyptic number.

It is an amenable number.

201200202121013 is a deficient number, since it is larger than the sum of its proper divisors (1).

201200202121013 is an equidigital number, since it uses as much as digits as its factorization.

201200202121013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 201200202121013 its reverse (310121202002102), we get a palindrome (511321404123115).

The spelling of 201200202121013 in words is "two hundred one trillion, two hundred billion, two hundred two million, one hundred twenty-one thousand, thirteen".