10100000100221 has 2 divisors, whose sum is σ = 10100000100222. Its totient is φ = 10100000100220.

The previous prime is 10100000100143. The next prime is 10100000100233. The reversal of 10100000100221 is 12200100000101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6517497537721 + 3582502562500 = 2552939^2 + 1892750^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100000100221 - 2¹⁴ = 10100000083837 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10100000100199 and 10100000100208.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10100000100121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050000050110 + 5050000050111.

It is an arithmetic number, because the mean of its divisors is an integer number (5050000050111).

Almost surely, 2^{10100000100221} is an apocalyptic number.

It is an amenable number.

10100000100221 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100000100221 is an equidigital number, since it uses as much as digits as its factorization.

10100000100221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10100000100221 its reverse (12200100000101), we get a palindrome (22300100100322).

The spelling of 10100000100221 in words is "ten trillion, one hundred billion, one hundred thousand, two hundred twenty-one".