2210100 has 72 divisors (see below), whose sum is σ = 6562080. Its totient is φ = 574080.

The previous prime is 2210077. The next prime is 2210107. The reversal of 2210100 is 10122.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2210107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15831 + ... + 15969.

It is an arithmetic number, because the mean of its divisors is an integer number (91140).

2^2210100 is an apocalyptic number.

2210100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2210100 is the 795-th nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2210100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3281040).

2210100 is an abundant number, since it is smaller than the sum of its proper divisors (4351980).

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

2210100 is a wasteful number, since it uses less digits than its factorization.

2210100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 2210100 is about 1486.6405079911. The cubic root of 2210100 is about 130.2578707868.

Adding to 2210100 its reverse (10122), we get a palindrome (2220222).

The spelling of 2210100 in words is "two million, two hundred ten thousand, one hundred".