2221100133 has 96 divisors (see below), whose sum is σ = 3949747200. Its totient is φ = 1080718848.

The previous prime is 2221100131. The next prime is 2221100149. The reversal of 2221100133 is 3310011222.

It is not a de Polignac number, because 2221100133 - 2¹ = 2221100131 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2221100131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3587898 + ... + 3588516.

It is an arithmetic number, because the mean of its divisors is an integer number (41143200).

Almost surely, 2^2221100133 is an apocalyptic number.

2221100133 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

2221100133 is a deficient number, since it is larger than the sum of its proper divisors (1728647067).

2221100133 is a wasteful number, since it uses less digits than its factorization.

2221100133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 2221100133 is about 47128.5490228587. The cubic root of 2221100133 is about 1304.7362018713.

Adding to 2221100133 its reverse (3310011222), we get a palindrome (5531111355).

The spelling of 2221100133 in words is "two billion, two hundred twenty-one million, one hundred thousand, one hundred thirty-three".