10320020122200 has 192 divisors, whose sum is σ = 33682028736000. Its totient is φ = 2606685027840.

The previous prime is 10320020122193. The next prime is 10320020122249. The reversal of 10320020122200 is 222102002301.

It is a happy number.

It is a super-3 number, since 3×10320020122200³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 10320020122200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64295646 + ... + 64455954.

It is an arithmetic number, because the mean of its divisors is an integer number (175427233000).

Almost surely, 2^{10320020122200} is an apocalyptic number.

10320020122200 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 10320020122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16841014368000).

10320020122200 is an abundant number, since it is smaller than the sum of its proper divisors (23362008613800).

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

10320020122200 is a wasteful number, since it uses less digits than its factorization.

10320020122200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165994 (or 165985 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 10320020122200 its reverse (222102002301), we get a palindrome (10542122124501).

The spelling of 10320020122200 in words is "ten trillion, three hundred twenty billion, twenty million, one hundred twenty-two thousand, two hundred".