221001022221121 has 2 divisors, whose sum is σ = 221001022221122. Its totient is φ = 221001022221120.

The previous prime is 221001022221107. The next prime is 221001022221131. The reversal of 221001022221121 is 121122220100122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 207175720960000 + 13825301261121 = 14393600^2 + 3718239^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-221001022221121 is a prime.

It is not a weakly prime, because it can be changed into another prime (221001022221131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110500511110560 + 110500511110561.

It is an arithmetic number, because the mean of its divisors is an integer number (110500511110561).

Almost surely, 2^{221001022221121} is an apocalyptic number.

It is an amenable number.

221001022221121 is a deficient number, since it is larger than the sum of its proper divisors (1).

221001022221121 is an equidigital number, since it uses as much as digits as its factorization.

221001022221121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 221001022221121 its reverse (121122220100122), we get a palindrome (342123242321243).

The spelling of 221001022221121 in words is "two hundred twenty-one trillion, one billion, twenty-two million, two hundred twenty-one thousand, one hundred twenty-one".