10220221112000 has 224 divisors, whose sum is σ = 26302284403200. Its totient is φ = 3929648640000.

The previous prime is 10220221111999. The next prime is 10220221112033. The reversal of 10220221112000 is 21112202201.

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 31 ways as a sum of consecutive naturals, for example, 36813710 + ... + 37090290.

Almost surely, 2^{10220221112000} is an apocalyptic number.

10220221112000 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 10220221112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13151142201600).

10220221112000 is an abundant number, since it is smaller than the sum of its proper divisors (16082063291200).

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

10220221112000 is a wasteful number, since it uses less digits than its factorization.

10220221112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276788 (or 276768 counting only the distinct ones).

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

Adding to 10220221112000 its reverse (21112202201), we get a palindrome (10241333314201).

The spelling of 10220221112000 in words is "ten trillion, two hundred twenty billion, two hundred twenty-one million, one hundred twelve thousand".