2102221100 has 36 divisors (see below), whose sum is σ = 5213510064. Its totient is φ = 720761280.

The previous prime is 2102221013. The next prime is 2102221103. The reversal of 2102221100 is 11222012.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2102221103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1500887 + ... + 1502286.

It is an arithmetic number, because the mean of its divisors is an integer number (144819724).

Almost surely, 2^2102221100 is an apocalyptic number.

2102221100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2102221100 is an abundant number, since it is smaller than the sum of its proper divisors (3111288964).

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

2102221100 is a wasteful number, since it uses less digits than its factorization.

2102221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3003194 (or 3003187 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 2102221100 is about 45849.9847328219. The cubic root of 2102221100 is about 1281.0304812098.

Adding to 2102221100 its reverse (11222012), we get a palindrome (2113443112).

The spelling of 2102221100 in words is "two billion, one hundred two million, two hundred twenty-one thousand, one hundred".