2221101 has 20 divisors (see below), whose sum is σ = 3515292. Its totient is φ = 1392768.

The previous prime is 2221097. The next prime is 2221111. The reversal of 2221101 is 1011222.

It can be written as a sum of positive squares in 2 ways, for example, as 1565001 + 656100 = 1251^2 + 810^2 .

It is not a de Polignac number, because 2221101 - 2² = 2221097 is a prime.

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

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2221111) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 571 + ... + 2183.

2^2221101 is an apocalyptic number.

It is an amenable number.

2221101 is a deficient number, since it is larger than the sum of its proper divisors (1294191).

2221101 is a wasteful number, since it uses less digits than its factorization.

2221101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1642 (or 1633 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 2221101 is about 1490.3358681854. The cubic root of 2221101 is about 130.4736371638.

Adding to 2221101 its reverse (1011222), we get a palindrome (3232323).

It can be divided in two parts, 222110 and 1, that added together give a triangular number (222111 = T₆₆₆).

The spelling of 2221101 in words is "two million, two hundred twenty-one thousand, one hundred one".