10034021300 has 72 divisors (see below), whose sum is σ = 22025527776. Its totient is φ = 3967384960.

The previous prime is 10034021293. The next prime is 10034021303. The reversal of 10034021300 is 312043001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10034021303) 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, 7307414 + ... + 7308786.

It is an arithmetic number, because the mean of its divisors is an integer number (305910108).

Almost surely, 2^10034021300 is an apocalyptic number.

10034021300 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 10034021300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11012763888).

10034021300 is an abundant number, since it is smaller than the sum of its proper divisors (11991506476).

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

10034021300 is a wasteful number, since it uses less digits than its factorization.

10034021300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2177 (or 2170 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 10034021300 its reverse (312043001), we get a palindrome (10346064301).

The spelling of 10034021300 in words is "ten billion, thirty-four million, twenty-one thousand, three hundred".