10220021123200 has 384 divisors, whose sum is σ = 28973552716800. Its totient is φ = 3489443020800.

The previous prime is 10220021123189. The next prime is 10220021123237. The reversal of 10220021123200 is 232112002201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 7736578540 + ... + 7736579860.

It is an arithmetic number, because the mean of its divisors is an integer number (75451960200).

Almost surely, 2^{10220021123200} is an apocalyptic number.

10220021123200 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 10220021123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14486776358400).

10220021123200 is an abundant number, since it is smaller than the sum of its proper divisors (18753531593600).

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

10220021123200 is a wasteful number, since it uses less digits than its factorization.

10220021123200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2528 (or 2511 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 10220021123200 its reverse (232112002201), we get a palindrome (10452133125401).

The spelling of 10220021123200 in words is "ten trillion, two hundred twenty billion, twenty-one million, one hundred twenty-three thousand, two hundred".