20101022210221 has 2 divisors, whose sum is σ = 20101022210222. Its totient is φ = 20101022210220.

The previous prime is 20101022210167. The next prime is 20101022210327. The reversal of 20101022210221 is 12201222010102.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 17948525364900 + 2152496845321 = 4236570^2 + 1467139^2 .

It is a cyclic number.

It is not a de Polignac number, because 20101022210221 - 2²³ = 20101013821613 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20101022210195 and 20101022210204.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20101022213221) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10050511105110 + 10050511105111.

It is an arithmetic number, because the mean of its divisors is an integer number (10050511105111).

Almost surely, 2^{20101022210221} is an apocalyptic number.

It is an amenable number.

20101022210221 is a deficient number, since it is larger than the sum of its proper divisors (1).

20101022210221 is an equidigital number, since it uses as much as digits as its factorization.

20101022210221 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 20101022210221 its reverse (12201222010102), we get a palindrome (32302244220323).

The spelling of 20101022210221 in words is "twenty trillion, one hundred one billion, twenty-two million, two hundred ten thousand, two hundred twenty-one".