221000221020001 has 2 divisors, whose sum is σ = 221000221020002. Its totient is φ = 221000221020000.

The previous prime is 221000221019993. The next prime is 221000221020017. The reversal of 221000221020001 is 100020122000122.

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., 195114522355600 + 25885698664401 = 13968340^2 + 5087799^2 .

It is a cyclic number.

It is not a de Polignac number, because 221000221020001 - 2³ = 221000221019993 is a prime.

It is not a weakly prime, because it can be changed into another prime (221000221020091) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110500110510000 + 110500110510001.

It is an arithmetic number, because the mean of its divisors is an integer number (110500110510001).

Almost surely, 2^{221000221020001} is an apocalyptic number.

It is an amenable number.

221000221020001 is a deficient number, since it is larger than the sum of its proper divisors (1).

221000221020001 is an equidigital number, since it uses as much as digits as its factorization.

221000221020001 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 13.

Adding to 221000221020001 its reverse (100020122000122), we get a palindrome (321020343020123).

The spelling of 221000221020001 in words is "two hundred twenty-one trillion, two hundred twenty-one million, twenty thousand, one".