10020122221200 has 960 divisors, whose sum is σ = 40049591662080. Its totient is φ = 2085172346880.

The previous prime is 10020122221199. The next prime is 10020122221237. The reversal of 10020122221200 is 212222102001.

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 10020122221200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2773350594 + ... + 2773354206.

It is an arithmetic number, because the mean of its divisors is an integer number (41718324648).

Almost surely, 2^{10020122221200} is an apocalyptic number.

10020122221200 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 10020122221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20024795831040).

10020122221200 is an abundant number, since it is smaller than the sum of its proper divisors (30029469440880).

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

10020122221200 is a wasteful number, since it uses less digits than its factorization.

10020122221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3996 (or 3985 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 10020122221200 its reverse (212222102001), we get a palindrome (10232344323201).

The spelling of 10020122221200 in words is "ten trillion, twenty billion, one hundred twenty-two million, two hundred twenty-one thousand, two hundred".