2203102100 has 72 divisors (see below), whose sum is σ = 4923356760. Its totient is φ = 855083520.

The previous prime is 2203102091. The next prime is 2203102103. The reversal of 2203102100 is 12013022.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 632723716 + 1570378384 = 25154^2 + 39628^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2203102103) 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 23 ways as a sum of consecutive naturals, for example, 2060366 + ... + 2061434.

It is an arithmetic number, because the mean of its divisors is an integer number (68379955).

Almost surely, 2^2203102100 is an apocalyptic number.

2203102100 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 2203102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2461678380).

2203102100 is an abundant number, since it is smaller than the sum of its proper divisors (2720254660).

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

2203102100 is a wasteful number, since it uses less digits than its factorization.

2203102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1677 (or 1670 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 2203102100 is about 46937.2144465349. The cubic root of 2203102100 is about 1301.2024574430.

Adding to 2203102100 its reverse (12013022), we get a palindrome (2215115122).

The spelling of 2203102100 in words is "two billion, two hundred three million, one hundred two thousand, one hundred".