200221008003001 has 2 divisors, whose sum is σ = 200221008003002. Its totient is φ = 200221008003000.

The previous prime is 200221008002969. The next prime is 200221008003013. The reversal of 200221008003001 is 100300800122002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 142243215083776 + 57977792919225 = 11926576^2 + 7614315^2 .

It is a cyclic number.

It is not a de Polignac number, because 200221008003001 - 2⁵ = 200221008002969 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 200221008003001.

It is not a weakly prime, because it can be changed into another prime (200221008000001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100110504001500 + 100110504001501.

It is an arithmetic number, because the mean of its divisors is an integer number (100110504001501).

Almost surely, 2^{200221008003001} is an apocalyptic number.

It is an amenable number.

200221008003001 is a deficient number, since it is larger than the sum of its proper divisors (1).

200221008003001 is an equidigital number, since it uses as much as digits as its factorization.

200221008003001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 200221008003001 its reverse (100300800122002), we get a palindrome (300521808125003).

The spelling of 200221008003001 in words is "two hundred trillion, two hundred twenty-one billion, eight million, three thousand, one".