1001011000221 has 24 divisors (see below), whose sum is σ = 1531080775224. Its totient is φ = 628034964480.

The previous prime is 1001011000123. The next prime is 1001011000229. The reversal of 1001011000221 is 1220001101001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 636181712100 + 364829288121 = 797610^2 + 604011^2 .

It is not a de Polignac number, because 1001011000221 - 2¹¹ = 1001010998173 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001011000229) 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, 1699545 + ... + 2211441.

It is an arithmetic number, because the mean of its divisors is an integer number (63795032301).

Almost surely, 2^{1001011000221} is an apocalyptic number.

It is an amenable number.

1001011000221 is a deficient number, since it is larger than the sum of its proper divisors (530069775003).

1001011000221 is a wasteful number, since it uses less digits than its factorization.

1001011000221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524701 (or 524698 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1001011000221 its reverse (1220001101001), we get a palindrome (2221012101222).

The spelling of 1001011000221 in words is "one trillion, one billion, eleven million, two hundred twenty-one", and thus it is an aban number.