101020002201221 has 2 divisors, whose sum is σ = 101020002201222. Its totient is φ = 101020002201220.

The previous prime is 101020002201199. The next prime is 101020002201247. The reversal of 101020002201221 is 122102200020101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 86057719492900 + 14962282708321 = 9276730^2 + 3868111^2 .

It is a cyclic number.

It is not a de Polignac number, because 101020002201221 - 2¹⁴ = 101020002184837 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101020002201196 and 101020002201205.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101020002201281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50510001100610 + 50510001100611.

It is an arithmetic number, because the mean of its divisors is an integer number (50510001100611).

Almost surely, 2^{101020002201221} is an apocalyptic number.

It is an amenable number.

101020002201221 is a deficient number, since it is larger than the sum of its proper divisors (1).

101020002201221 is an equidigital number, since it uses as much as digits as its factorization.

101020002201221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 101020002201221 its reverse (122102200020101), we get a palindrome (223122202221322).

The spelling of 101020002201221 in words is "one hundred one trillion, twenty billion, two million, two hundred one thousand, two hundred twenty-one".