221000001001001 has 4 divisors (see below), whose sum is σ = 221032109100432. Its totient is φ = 220967892901572.

The previous prime is 221000001000983. The next prime is 221000001001049. The reversal of 221000001001001 is 100100100000122.

221000001001001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 221000001001001 - 2⁴⁶ = 150631256823337 is a prime.

It is a Duffinian number.

221000001001001 is a modest number, since divided by 1001001 gives 221000 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 221000001001001.

It is not an unprimeable number, because it can be changed into a prime (221000001001061) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16054039391 + ... + 16054053156.

It is an arithmetic number, because the mean of its divisors is an integer number (55258027275108).

Almost surely, 2^{221000001001001} is an apocalyptic number.

It is an amenable number.

221000001001001 is a deficient number, since it is larger than the sum of its proper divisors (32108099431).

221000001001001 is an equidigital number, since it uses as much as digits as its factorization.

221000001001001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32108099430.

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

Adding to 221000001001001 its reverse (100100100000122), we get a palindrome (321100101001123).

The spelling of 221000001001001 in words is "two hundred twenty-one trillion, one million, one thousand, one".