2213402100 has 144 divisors (see below), whose sum is σ = 7882078848. Its totient is φ = 466997760.

The previous prime is 2213402083. The next prime is 2213402129. The reversal of 2213402100 is 12043122.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2213402100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13239 + ... + 67838.

Almost surely, 2^2213402100 is an apocalyptic number.

2213402100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2213402100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3941039424).

2213402100 is an abundant number, since it is smaller than the sum of its proper divisors (5668676748).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2213402100 is a wasteful number, since it uses less digits than its factorization.

2213402100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81114 (or 81107 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2213402100 is about 47046.8075431267. The cubic root of 2213402100 is about 1303.2271106202.

Adding to 2213402100 its reverse (12043122), we get a palindrome (2225445222).

The spelling of 2213402100 in words is "two billion, two hundred thirteen million, four hundred two thousand, one hundred".