1012000221 has 24 divisors (see below), whose sum is σ = 1482207480. Its totient is φ = 665280000.

The previous prime is 1012000219. The next prime is 1012000237. The reversal of 1012000221 is 1220002101.

It can be written as a sum of positive squares in 4 ways, for example, as 12744900 + 999255321 = 3570^2 + 31611^2 .

It is not a de Polignac number, because 1012000221 - 2¹ = 1012000219 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012000201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 335721 + ... + 338721.

It is an arithmetic number, because the mean of its divisors is an integer number (61758645).

Almost surely, 2^1012000221 is an apocalyptic number.

It is an amenable number.

1012000221 is a deficient number, since it is larger than the sum of its proper divisors (470207259).

1012000221 is a wasteful number, since it uses less digits than its factorization.

1012000221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3517 (or 3514 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1012000221 is about 31811.9509147113. The cubic root of 1012000221 is about 1003.9841789039.

Adding to 1012000221 its reverse (1220002101), we get a palindrome (2232002322).

The spelling of 1012000221 in words is "one billion, twelve million, two hundred twenty-one", and thus it is an aban number.