2300102003000 has 256 divisors, whose sum is σ = 5655649184640. Its totient is φ = 874598400000.

The previous prime is 2300102002969. The next prime is 2300102003011. The reversal of 2300102003000 is 3002010032.

It is a super-2 number, since 2×2300102003000² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 492208664 + ... + 492213336.

Almost surely, 2^{2300102003000} is an apocalyptic number.

2300102003000 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 2300102003000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2827824592320).

2300102003000 is an abundant number, since it is smaller than the sum of its proper divisors (3355547181640).

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

2300102003000 is a wasteful number, since it uses less digits than its factorization.

2300102003000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5035 (or 5021 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

Adding to 2300102003000 its reverse (3002010032), we get a palindrome (2303104013032).

The spelling of 2300102003000 in words is "two trillion, three hundred billion, one hundred two million, three thousand".