10221031241120 has 288 divisors, whose sum is σ = 28041334634880. Its totient is φ = 3448458547200.

The previous prime is 10221031241119. The next prime is 10221031241207. The reversal of 10221031241120 is 2114213012201.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10221031241092 and 10221031241101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3385566971 + ... + 3385569989.

It is an arithmetic number, because the mean of its divisors is an integer number (97365745260).

Almost surely, 2^{10221031241120} is an apocalyptic number.

10221031241120 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 10221031241120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14020667317440).

10221031241120 is an abundant number, since it is smaller than the sum of its proper divisors (17820303393760).

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

10221031241120 is a wasteful number, since it uses less digits than its factorization.

10221031241120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3488 (or 3307 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 10221031241120 its reverse (2114213012201), we get a palindrome (12335244253321).

The spelling of 10221031241120 in words is "ten trillion, two hundred twenty-one billion, thirty-one million, two hundred forty-one thousand, one hundred twenty".