10221011120000 has 80 divisors (see below), whose sum is σ = 25444568569200. Its totient is φ = 4088404416000.

The previous prime is 10221011119951. The next prime is 10221011120003. The reversal of 10221011120000 is 2111012201.

10221011120000 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 (80).

It is a super-3 number, since 3×10221011120000³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221011120003) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 63801320 + ... + 63961319.

It is an arithmetic number, because the mean of its divisors is an integer number (318057107115).

Almost surely, 2^{10221011120000} is an apocalyptic number.

10221011120000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10221011120000 is an abundant number, since it is smaller than the sum of its proper divisors (15223557449200).

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

10221011120000 is an frugal number, since it uses more digits than its factorization.

10221011120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127762673 (or 127762646 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10221011120000 its reverse (2111012201), we get a palindrome (10223122132201).

The spelling of 10221011120000 in words is "ten trillion, two hundred twenty-one billion, eleven million, one hundred twenty thousand".