10023201021300 has 288 divisors, whose sum is σ = 30150001526400. Its totient is φ = 2568821299200.

The previous prime is 10023201021299. The next prime is 10023201021367. The reversal of 10023201021300 is 312010232001.

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 10023201021300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 414495210 + ... + 414519390.

It is an arithmetic number, because the mean of its divisors is an integer number (104687505300).

Almost surely, 2^{10023201021300} is an apocalyptic number.

10023201021300 is a gapful number since it is divisible by the number (10) 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 10023201021300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15075000763200).

10023201021300 is an abundant number, since it is smaller than the sum of its proper divisors (20126800505100).

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

10023201021300 is a wasteful number, since it uses less digits than its factorization.

10023201021300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24691 (or 24684 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10023201021300 its reverse (312010232001), we get a palindrome (10335211253301).

The spelling of 10023201021300 in words is "ten trillion, twenty-three billion, two hundred one million, twenty-one thousand, three hundred".