21221110201001 has 2 divisors, whose sum is σ = 21221110201002. Its totient is φ = 21221110201000.

The previous prime is 21221110200937. The next prime is 21221110201007. The reversal of 21221110201001 is 10010201112212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 16995006250000 + 4226103951001 = 4122500^2 + 2055749^2 .

It is a cyclic number.

It is not a de Polignac number, because 21221110201001 - 2⁶ = 21221110200937 is a prime.

It is not a weakly prime, because it can be changed into another prime (21221110201007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10610555100500 + 10610555100501.

It is an arithmetic number, because the mean of its divisors is an integer number (10610555100501).

Almost surely, 2^{21221110201001} is an apocalyptic number.

It is an amenable number.

21221110201001 is a deficient number, since it is larger than the sum of its proper divisors (1).

21221110201001 is an equidigital number, since it uses as much as digits as its factorization.

21221110201001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 21221110201001 its reverse (10010201112212), we get a palindrome (31231311313213).

The spelling of 21221110201001 in words is "twenty-one trillion, two hundred twenty-one billion, one hundred ten million, two hundred one thousand, one".