10221122120000 has 140 divisors (see below), whose sum is σ = 27649158637056. Its totient is φ = 3716771520000.

The previous prime is 10221122119997. The next prime is 10221122120051. The reversal of 10221122120000 is 2122112201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11174912 + ... + 12054911.

Almost surely, 2^{10221122120000} is an apocalyptic number.

10221122120000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10221122120000 is an abundant number, since it is smaller than the sum of its proper divisors (17428036517056).

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

10221122120000 is an equidigital number, since it uses as much as digits as its factorization.

10221122120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23229866 (or 23229841 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10221122120000 its reverse (2122112201), we get a palindrome (10223244232201).

The spelling of 10221122120000 in words is "ten trillion, two hundred twenty-one billion, one hundred twenty-two million, one hundred twenty thousand".