10221120222000 has 240 divisors, whose sum is σ = 35005326768672. Its totient is φ = 2565300326400.

The previous prime is 10221120221999. The next prime is 10221120222161. The reversal of 10221120222000 is 22202112201.

10221120222000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 1213267 + ... + 4681266.

Almost surely, 2^{10221120222000} is an apocalyptic number.

10221120222000 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 10221120222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17502663384336).

10221120222000 is an abundant number, since it is smaller than the sum of its proper divisors (24784206546672).

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

10221120222000 is a wasteful number, since it uses less digits than its factorization.

10221120222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5894593 (or 5894560 counting only the distinct ones).

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

Adding to 10221120222000 its reverse (22202112201), we get a palindrome (10243322334201).

The spelling of 10221120222000 in words is "ten trillion, two hundred twenty-one billion, one hundred twenty million, two hundred twenty-two thousand".