10020221120000 has 800 divisors, whose sum is σ = 31301810764224. Its totient is φ = 3118694400000.

The previous prime is 10020221119921. The next prime is 10020221120009. The reversal of 10020221120000 is 2112202001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (800).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10020221120009) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 1776317180 + ... + 1776322820.

Almost surely, 2^{10020221120000} is an apocalyptic number.

10020221120000 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 10020221120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15650905382112).

10020221120000 is an abundant number, since it is smaller than the sum of its proper divisors (21281589644224).

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

10020221120000 is an frugal number, since it uses more digits than its factorization.

10020221120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5760 (or 5729 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10020221120000 its reverse (2112202001), we get a palindrome (10022333322001).

The spelling of 10020221120000 in words is "ten trillion, twenty billion, two hundred twenty-one million, one hundred twenty thousand".