1020120221 has 16 divisors (see below), whose sum is σ = 1059207408. Its totient is φ = 981811200.

The previous prime is 1020120197. The next prime is 1020120247. The reversal of 1020120221 is 1220210201.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 96628900 + 923491321 = 9830^2 + 30389^2 .

It is a cyclic number.

It is not a de Polignac number, because 1020120221 - 2¹⁴ = 1020103837 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020120251) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1083611 + ... + 1084551.

It is an arithmetic number, because the mean of its divisors is an integer number (66200463).

Almost surely, 2^1020120221 is an apocalyptic number.

It is an amenable number.

1020120221 is a deficient number, since it is larger than the sum of its proper divisors (39087187).

1020120221 is a wasteful number, since it uses less digits than its factorization.

1020120221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1312.

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 1020120221 is about 31939.3209226496. The cubic root of 1020120221 is about 1006.6622561074.

Adding to 1020120221 its reverse (1220210201), we get a palindrome (2240330422).

The spelling of 1020120221 in words is "one billion, twenty million, one hundred twenty thousand, two hundred twenty-one".