10211221200000 has 768 divisors, whose sum is σ = 34506558938880. Its totient is φ = 2674944000000.

The previous prime is 10211221199941. The next prime is 10211221200023. The reversal of 10211221200000 is 212211201.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 95 ways as a sum of consecutive naturals, for example, 20967599757 + ... + 20967600243.

It is an arithmetic number, because the mean of its divisors is an integer number (44930415285).

Almost surely, 2^{10211221200000} is an apocalyptic number.

10211221200000 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 10211221200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17253279469440).

10211221200000 is an abundant number, since it is smaller than the sum of its proper divisors (24295337738880).

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

10211221200000 is an equidigital number, since it uses as much as digits as its factorization.

10211221200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803 (or 771 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10211221200000 its reverse (212211201), we get a palindrome (10211433411201).

The spelling of 10211221200000 in words is "ten trillion, two hundred eleven billion, two hundred twenty-one million, two hundred thousand".