10010010313200 has 240 divisors, whose sum is σ = 32219441618400. Its totient is φ = 2656540508160.

The previous prime is 10010010313181. The next prime is 10010010313213. The reversal of 10010010313200 is 231301001001.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 234685476 + ... + 234728124.

It is an arithmetic number, because the mean of its divisors is an integer number (134247673410).

Almost surely, 2^{10010010313200} is an apocalyptic number.

10010010313200 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 10010010313200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16109720809200).

10010010313200 is an abundant number, since it is smaller than the sum of its proper divisors (22209431305200).

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

10010010313200 is a wasteful number, since it uses less digits than its factorization.

10010010313200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43604 (or 43593 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 10010010313200 its reverse (231301001001), we get a palindrome (10241311314201).

The spelling of 10010010313200 in words is "ten trillion, ten billion, ten million, three hundred thirteen thousand, two hundred".