2252102100 has 72 divisors (see below), whose sum is σ = 6526957248. Its totient is φ = 599558400.

The previous prime is 2252102087. The next prime is 2252102101. The reversal of 2252102100 is 12012522.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2252102100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2252102101) 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, 183352 + ... + 195248.

It is an arithmetic number, because the mean of its divisors is an integer number (90652184).

Almost surely, 2^2252102100 is an apocalyptic number.

2252102100 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 2252102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3263478624).

2252102100 is an abundant number, since it is smaller than the sum of its proper divisors (4274855148).

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

2252102100 is a wasteful number, since it uses less digits than its factorization.

2252102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12545 (or 12538 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 2252102100 is about 47456.3178091179. The cubic root of 2252102100 is about 1310.7786486401.

Adding to 2252102100 its reverse (12012522), we get a palindrome (2264114622).

The spelling of 2252102100 in words is "two billion, two hundred fifty-two million, one hundred two thousand, one hundred".