10100202210221 has 2 divisors, whose sum is σ = 10100202210222. Its totient is φ = 10100202210220.

The previous prime is 10100202210191. The next prime is 10100202210271. The reversal of 10100202210221 is 12201220200101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9236949385225 + 863252824996 = 3039235^2 + 929114^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100202210221 - 2¹⁰ = 10100202209197 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10100202210196 and 10100202210205.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10100202210271) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050101105110 + 5050101105111.

It is an arithmetic number, because the mean of its divisors is an integer number (5050101105111).

Almost surely, 2^{10100202210221} is an apocalyptic number.

It is an amenable number.

10100202210221 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100202210221 is an equidigital number, since it uses as much as digits as its factorization.

10100202210221 is an evil number, because the sum of its binary digits is even.

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

Adding to 10100202210221 its reverse (12201220200101), we get a palindrome (22301422410322).

The spelling of 10100202210221 in words is "ten trillion, one hundred billion, two hundred two million, two hundred ten thousand, two hundred twenty-one".