221001001000 has 64 divisors (see below), whose sum is σ = 556922555280. Its totient is φ = 81600364800.

The previous prime is 221001000973. The next prime is 221001001021. The reversal of 221001001000 is 100100122.

221001001000 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 29088666916 + 191912334084 = 170554^2 + 438078^2 .

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 8487039 + ... + 8513038.

Almost surely, 2^221001001000 is an apocalyptic number.

221001001000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221001001000 is an abundant number, since it is smaller than the sum of its proper divisors (335921554280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

221001001000 is a wasteful number, since it uses less digits than its factorization.

221001001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17000111 (or 17000097 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 221001001000 its reverse (100100122), we get a palindrome (221101101122).

The spelling of 221001001000 in words is "two hundred twenty-one billion, one million, one thousand".