220201002210001 has 2 divisors, whose sum is σ = 220201002210002. Its totient is φ = 220201002210000.

The previous prime is 220201002209987. The next prime is 220201002210043. The reversal of 220201002210001 is 100012200102022.

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., 173094413206225 + 47106589003776 = 13156535^2 + 6863424^2 .

It is a cyclic number.

It is not a de Polignac number, because 220201002210001 - 2³⁷ = 220063563256529 is a prime.

It is a super-2 number, since 2×220201002210001² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (220201002210401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110100501105000 + 110100501105001.

It is an arithmetic number, because the mean of its divisors is an integer number (110100501105001).

Almost surely, 2^{220201002210001} is an apocalyptic number.

It is an amenable number.

220201002210001 is a deficient number, since it is larger than the sum of its proper divisors (1).

220201002210001 is an equidigital number, since it uses as much as digits as its factorization.

220201002210001 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 13.

Adding to 220201002210001 its reverse (100012200102022), we get a palindrome (320213202312023).

The spelling of 220201002210001 in words is "two hundred twenty trillion, two hundred one billion, two million, two hundred ten thousand, one".