2100221010 has 96 divisors (see below), whose sum is σ = 5633579952. Its totient is φ = 542453760.

The previous prime is 2100220999. The next prime is 2100221017. The reversal of 2100221010 is 101220012.

It can be written as a sum of positive squares in 8 ways, for example, as 2031214761 + 69006249 = 45069^2 + 8307^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2100220983 and 2100221001.

It is not an unprimeable number, because it can be changed into a prime (2100221017) 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 47 ways as a sum of consecutive naturals, for example, 801222 + ... + 803838.

Almost surely, 2^2100221010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2100221010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2816789976).

2100221010 is an abundant number, since it is smaller than the sum of its proper divisors (3533358942).

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

2100221010 is a wasteful number, since it uses less digits than its factorization.

2100221010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2908 (or 2905 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 2100221010 is about 45828.1683029117. The cubic root of 2100221010 is about 1280.6240873483.

Adding to 2100221010 its reverse (101220012), we get a palindrome (2201441022).

The spelling of 2100221010 in words is "two billion, one hundred million, two hundred twenty-one thousand, ten".