10221002120000 has 560 divisors, whose sum is σ = 31112978160000. Its totient is φ = 3319819776000.

The previous prime is 10221002119921. The next prime is 10221002120027. The reversal of 10221002120000 is 2120012201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (560).

It is a super-3 number, since 3×10221002120000³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 260660396 + ... + 260699604.

Almost surely, 2^{10221002120000} is an apocalyptic number.

10221002120000 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 10221002120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15556489080000).

10221002120000 is an abundant number, since it is smaller than the sum of its proper divisors (20891976040000).

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

10221002120000 is an frugal number, since it uses more digits than its factorization.

10221002120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39281 (or 39242 counting only the distinct ones).

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

Adding to 10221002120000 its reverse (2120012201), we get a palindrome (10223122132201).

The spelling of 10221002120000 in words is "ten trillion, two hundred twenty-one billion, two million, one hundred twenty thousand".