1110221001 has 48 divisors (see below), whose sum is σ = 1699261200. Its totient is φ = 697559040.

The previous prime is 1110220967. The next prime is 1110221033. The reversal of 1110221001 is 1001220111.

1110221001 = 3639² + 3640² + ... + 3720².

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 9308601 + 1100912400 = 3051^2 + 33180^2 .

It is not a de Polignac number, because 1110221001 - 2¹³ = 1110212809 is a prime.

It is a super-2 number, since 2×1110221001² = 2465181342122884002, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1110221071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3180975 + ... + 3181323.

It is an arithmetic number, because the mean of its divisors is an integer number (35401275).

Almost surely, 2^1110221001 is an apocalyptic number.

It is an amenable number.

1110221001 is a deficient number, since it is larger than the sum of its proper divisors (589040199).

1110221001 is a wasteful number, since it uses less digits than its factorization.

1110221001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 663 counting only the distinct ones).

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

The square root of 1110221001 is about 33319.9790065960. The cubic root of 1110221001 is about 1035.4675168558.

Adding to 1110221001 its reverse (1001220111), we get a palindrome (2111441112).

It can be divided in two parts, 1110 and 221001, that added together give a triangular number (222111 = T₆₆₆).

The spelling of 1110221001 in words is "one billion, one hundred ten million, two hundred twenty-one thousand, one".