101212102000201 has 2 divisors, whose sum is σ = 101212102000202. Its totient is φ = 101212102000200.

The previous prime is 101212102000189. The next prime is 101212102000211. The reversal of 101212102000201 is 102000201212101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 59871072769600 + 41341029230601 = 7737640^2 + 6429699^2 .

It is a cyclic number.

It is not a de Polignac number, because 101212102000201 - 2²⁵ = 101212068445769 is a prime.

It is not a weakly prime, because it can be changed into another prime (101212102000211) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50606051000100 + 50606051000101.

It is an arithmetic number, because the mean of its divisors is an integer number (50606051000101).

Almost surely, 2^{101212102000201} is an apocalyptic number.

It is an amenable number.

101212102000201 is a deficient number, since it is larger than the sum of its proper divisors (1).

101212102000201 is an equidigital number, since it uses as much as digits as its factorization.

101212102000201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 101212102000201 its reverse (102000201212101), we get a palindrome (203212303212302).

The spelling of 101212102000201 in words is "one hundred one trillion, two hundred twelve billion, one hundred two million, two hundred one", and thus it is an aban number.