2300120100 has 108 divisors (see below), whose sum is σ = 7225201620. Its totient is φ = 612038400.

The previous prime is 2300120099. The next prime is 2300120101. The reversal of 2300120100 is 10210032.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2300120099) and next prime (2300120101).

It can be written as a sum of positive squares in 6 ways, for example, as 156800484 + 2143319616 = 12522^2 + 46296^2 .

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

It is not an unprimeable number, because it can be changed into a prime (2300120101) 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, 455590 + ... + 460610.

It is an arithmetic number, because the mean of its divisors is an integer number (66900015).

Almost surely, 2^2300120100 is an apocalyptic number.

2300120100 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 2300120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3612600810).

2300120100 is an abundant number, since it is smaller than the sum of its proper divisors (4925081520).

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

2300120100 is a wasteful number, since it uses less digits than its factorization.

2300120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5550 (or 5540 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 2300120100 is about 47959.5673458383. The cubic root of 2300120100 is about 1320.0290971547.

Adding to 2300120100 its reverse (10210032), we get a palindrome (2310330132).

The spelling of 2300120100 in words is "two billion, three hundred million, one hundred twenty thousand, one hundred".