2221131133201 has 2 divisors, whose sum is σ = 2221131133202. Its totient is φ = 2221131133200.

The previous prime is 2221131133171. The next prime is 2221131133211. The reversal of 2221131133201 is 1023311311222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2218905180801 + 2225952400 = 1489599^2 + 47180^2 .

It is a cyclic number.

It is not a de Polignac number, because 2221131133201 - 2⁷ = 2221131133073 is a prime.

It is not a weakly prime, because it can be changed into another prime (2221131133211) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1110565566600 + 1110565566601.

It is an arithmetic number, because the mean of its divisors is an integer number (1110565566601).

Almost surely, 2^{2221131133201} is an apocalyptic number.

It is an amenable number.

2221131133201 is a deficient number, since it is larger than the sum of its proper divisors (1).

2221131133201 is an equidigital number, since it uses as much as digits as its factorization.

2221131133201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 2221131133201 its reverse (1023311311222), we get a palindrome (3244442444423).

The spelling of 2221131133201 in words is "two trillion, two hundred twenty-one billion, one hundred thirty-one million, one hundred thirty-three thousand, two hundred one".