1001010000221 has 32 divisors (see below), whose sum is σ = 1252376985600. Its totient is φ = 777283721280.

The previous prime is 1001010000203. The next prime is 1001010000251. The reversal of 1001010000221 is 1220000101001.

It is not a de Polignac number, because 1001010000221 - 2¹⁴ = 1001009983837 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1001010000199 and 1001010000208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001010000251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33622340 + ... + 33652098.

It is an arithmetic number, because the mean of its divisors is an integer number (39136780800).

Almost surely, 2^{1001010000221} is an apocalyptic number.

1001010000221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1001010000221 is a deficient number, since it is larger than the sum of its proper divisors (251366985379).

1001010000221 is a wasteful number, since it uses less digits than its factorization.

1001010000221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31289.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 1001010000221 its reverse (1220000101001), we get a palindrome (2221010101222).

The spelling of 1001010000221 in words is "one trillion, one billion, ten million, two hundred twenty-one", and thus it is an aban number.