201012212121013 has 2 divisors, whose sum is σ = 201012212121014. Its totient is φ = 201012212121012.

The previous prime is 201012212120981. The next prime is 201012212121037. The reversal of 201012212121013 is 310121212210102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 148795156178244 + 52217055942769 = 12198162^2 + 7226137^2 .

It is a cyclic number.

It is not a de Polignac number, because 201012212121013 - 2⁵ = 201012212120981 is a prime.

It is a super-2 number, since 2×201012212121013² (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 (201012212121043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100506106060506 + 100506106060507.

It is an arithmetic number, because the mean of its divisors is an integer number (100506106060507).

Almost surely, 2^{201012212121013} is an apocalyptic number.

It is an amenable number.

201012212121013 is a deficient number, since it is larger than the sum of its proper divisors (1).

201012212121013 is an equidigital number, since it uses as much as digits as its factorization.

201012212121013 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 19.

Adding to 201012212121013 its reverse (310121212210102), we get a palindrome (511133424331115).

The spelling of 201012212121013 in words is "two hundred one trillion, twelve billion, two hundred twelve million, one hundred twenty-one thousand, thirteen".