10221120112000 has 1024 divisors, whose sum is σ = 31048003584000. Its totient is φ = 3340818432000.

The previous prime is 10221120111949. The next prime is 10221120112079. The reversal of 10221120112000 is 21102112201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12419343589 + ... + 12419344411.

It is an arithmetic number, because the mean of its divisors is an integer number (30320316000).

Almost surely, 2^{10221120112000} is an apocalyptic number.

10221120112000 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 10221120112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15524001792000).

10221120112000 is an abundant number, since it is smaller than the sum of its proper divisors (20826883472000).

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

10221120112000 is an frugal number, since it uses more digits than its factorization.

10221120112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 977 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10221120112000 its reverse (21102112201), we get a palindrome (10242222224201).

The spelling of 10221120112000 in words is "ten trillion, two hundred twenty-one billion, one hundred twenty million, one hundred twelve thousand".