1020011221 has 8 divisors (see below), whose sum is σ = 1031448888. Its totient is φ = 1008600000.

The previous prime is 1020011207. The next prime is 1020011297. The reversal of 1020011221 is 1221100201.

1020011221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 228432996 + 791578225 = 15114^2 + 28135^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1020011221 - 2⁵ = 1020011189 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1020011198 and 1020011207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020011821) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 76771 + ... + 89071.

It is an arithmetic number, because the mean of its divisors is an integer number (128931111).

Almost surely, 2^1020011221 is an apocalyptic number.

It is an amenable number.

1020011221 is a deficient number, since it is larger than the sum of its proper divisors (11437667).

1020011221 is a wasteful number, since it uses less digits than its factorization.

1020011221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13223.

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 1020011221 is about 31937.6145164287. The cubic root of 1020011221 is about 1006.6264008255.

Adding to 1020011221 its reverse (1221100201), we get a palindrome (2241111422).

The spelling of 1020011221 in words is "one billion, twenty million, eleven thousand, two hundred twenty-one".