2102213100 has 144 divisors (see below), whose sum is σ = 6618999968. Its totient is φ = 512040960.

The previous prime is 2102213083. The next prime is 2102213123. The reversal of 2102213100 is 13122012.

It is a super-2 number, since 2×2102213100² = 8838599835623220000, which contains 22 as substring.

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

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, 375522 + ... + 381078.

Almost surely, 2^2102213100 is an apocalyptic number.

2102213100 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 2102213100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3309499984).

2102213100 is an abundant number, since it is smaller than the sum of its proper divisors (4516786868).

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

2102213100 is a wasteful number, since it uses less digits than its factorization.

2102213100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5684 (or 5677 counting only the distinct ones).

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

The square root of 2102213100 is about 45849.8974917066. The cubic root of 2102213100 is about 1281.0288562210.

Adding to 2102213100 its reverse (13122012), we get a palindrome (2115335112).

The spelling of 2102213100 in words is "two billion, one hundred two million, two hundred thirteen thousand, one hundred".