10310101213200 has 480 divisors, whose sum is σ = 34067705241600. Its totient is φ = 2664010997760.

The previous prime is 10310101213189. The next prime is 10310101213219. The reversal of 10310101213200 is 231210101301.

It is a happy number.

It is a super-2 number, since 2×10310101213200² (a number of 27 digits) contains 22 as substring.

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 10310101213200.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2412846264 + ... + 2412850536.

It is an arithmetic number, because the mean of its divisors is an integer number (70974385920).

Almost surely, 2^{10310101213200} is an apocalyptic number.

10310101213200 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 10310101213200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17033852620800).

10310101213200 is an abundant number, since it is smaller than the sum of its proper divisors (23757604028400).

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

10310101213200 is a wasteful number, since it uses less digits than its factorization.

10310101213200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4759 (or 4748 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 10310101213200 its reverse (231210101301), we get a palindrome (10541311314501).

The spelling of 10310101213200 in words is "ten trillion, three hundred ten billion, one hundred one million, two hundred thirteen thousand, two hundred".