10210310400 has 216 divisors, whose sum is σ = 33823703200. Its totient is φ = 2712453120.

The previous prime is 10210310339. The next prime is 10210310417. The reversal of 10210310400 is 401301201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6008751 + ... + 6010449.

Almost surely, 2^10210310400 is an apocalyptic number.

10210310400 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 10210310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16911851600).

10210310400 is an abundant number, since it is smaller than the sum of its proper divisors (23613392800).

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

10210310400 is a wasteful number, since it uses less digits than its factorization.

10210310400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2041 (or 2022 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 10210310400 its reverse (401301201), we get a palindrome (10611611601).

The spelling of 10210310400 in words is "ten billion, two hundred ten million, three hundred ten thousand, four hundred".