1001000110221 has 24 divisors (see below), whose sum is σ = 1505309182520. Its totient is φ = 640402868736.

The previous prime is 1001000110189. The next prime is 1001000110223. The reversal of 1001000110221 is 1220110001001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 662408793225 + 338591316996 = 813885^2 + 581886^2 .

It is not a de Polignac number, because 1001000110221 - 2⁵ = 1001000110189 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 (1001000110223) 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, 20564776 + ... + 20613393.

Almost surely, 2^{1001000110221} is an apocalyptic number.

It is an amenable number.

1001000110221 is a deficient number, since it is larger than the sum of its proper divisors (504309072299).

1001000110221 is a wasteful number, since it uses less digits than its factorization.

1001000110221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41178285 (or 41178282 counting only the distinct ones).

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

Adding to 1001000110221 its reverse (1220110001001), we get a palindrome (2221110111222).

The spelling of 1001000110221 in words is "one trillion, one billion, one hundred ten thousand, two hundred twenty-one".