10217013300 has 216 divisors, whose sum is σ = 35568348480. Its totient is φ = 2514844800.

The previous prime is 10217013283. The next prime is 10217013307. The reversal of 10217013300 is 331071201.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10217013307) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 445105 + ... + 467495.

It is an arithmetic number, because the mean of its divisors is an integer number (164668280).

Almost surely, 2^10217013300 is an apocalyptic number.

10217013300 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 10217013300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17784174240).

10217013300 is an abundant number, since it is smaller than the sum of its proper divisors (25351335180).

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

10217013300 is a wasteful number, since it uses less digits than its factorization.

10217013300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22440 (or 22414 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

Adding to 10217013300 its reverse (331071201), we get a palindrome (10548084501).

The spelling of 10217013300 in words is "ten billion, two hundred seventeen million, thirteen thousand, three hundred".