4021221034217 has 2 divisors, whose sum is σ = 4021221034218. Its totient is φ = 4021221034216.

The previous prime is 4021221034177. The next prime is 4021221034249. The reversal of 4021221034217 is 7124301221204.

It is a happy number.

4021221034217 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3727772393536 + 293448640681 = 1930744^2 + 541709^2 .

It is a cyclic number.

It is not a de Polignac number, because 4021221034217 - 2¹⁸ = 4021220772073 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4021221034217.

It is not a weakly prime, because it can be changed into another prime (4021221030217) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2010610517108 + 2010610517109.

It is an arithmetic number, because the mean of its divisors is an integer number (2010610517109).

Almost surely, 2^{4021221034217} is an apocalyptic number.

It is an amenable number.

4021221034217 is a deficient number, since it is larger than the sum of its proper divisors (1).

4021221034217 is an equidigital number, since it uses as much as digits as its factorization.

4021221034217 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5376, while the sum is 29.

The spelling of 4021221034217 in words is "four trillion, twenty-one billion, two hundred twenty-one million, thirty-four thousand, two hundred seventeen".