2210102100 has 108 divisors (see below), whose sum is σ = 6974358300. Its totient is φ = 585369600.

The previous prime is 2210102087. The next prime is 2210102107. The reversal of 2210102100 is 12010122.

It can be written as a sum of positive squares in 6 ways, for example, as 351112644 + 1858989456 = 18738^2 + 43116^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2210102107) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 125860 + ... + 142340.

Almost surely, 2^2210102100 is an apocalyptic number.

2210102100 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 2210102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3487179150).

2210102100 is an abundant number, since it is smaller than the sum of its proper divisors (4764256200).

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

2210102100 is a wasteful number, since it uses less digits than its factorization.

2210102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16650 (or 16640 counting only the distinct ones).

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

The square root of 2210102100 is about 47011.7230060758. The cubic root of 2210102100 is about 1302.5791204303.

Adding to 2210102100 its reverse (12010122), we get a palindrome (2222112222).

The spelling of 2210102100 in words is "two billion, two hundred ten million, one hundred two thousand, one hundred".