201010100221001 has 2 divisors, whose sum is σ = 201010100221002. Its totient is φ = 201010100221000.

The previous prime is 201010100220901. The next prime is 201010100221037. The reversal of 201010100221001 is 100122001010102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 181402243159225 + 19607857061776 = 13468565^2 + 4428076^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-201010100221001 is a prime.

It is not a weakly prime, because it can be changed into another prime (201010100221901) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100505050110500 + 100505050110501.

It is an arithmetic number, because the mean of its divisors is an integer number (100505050110501).

Almost surely, 2^{201010100221001} is an apocalyptic number.

It is an amenable number.

201010100221001 is a deficient number, since it is larger than the sum of its proper divisors (1).

201010100221001 is an equidigital number, since it uses as much as digits as its factorization.

201010100221001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 201010100221001 its reverse (100122001010102), we get a palindrome (301132101231103).

The spelling of 201010100221001 in words is "two hundred one trillion, ten billion, one hundred million, two hundred twenty-one thousand, one".