2213102100 has 216 divisors, whose sum is σ = 7214788224. Its totient is φ = 523072000.

The previous prime is 2213102093. The next prime is 2213102119. The reversal of 2213102100 is 12013122.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1487557 + ... + 1489043.

Almost surely, 2^2213102100 is an apocalyptic number.

2213102100 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 2213102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3607394112).

2213102100 is an abundant number, since it is smaller than the sum of its proper divisors (5001686124).

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

2213102100 is a wasteful number, since it uses less digits than its factorization.

2213102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1567 (or 1549 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 2213102100 is about 47043.6191209818. The cubic root of 2213102100 is about 1303.1682290463.

Adding to 2213102100 its reverse (12013122), we get a palindrome (2225115222).

The spelling of 2213102100 in words is "two billion, two hundred thirteen million, one hundred two thousand, one hundred".