10221210211120 has 20 divisors (see below), whose sum is σ = 23764313741040. Its totient is φ = 4088484084416.

The previous prime is 10221210211087. The next prime is 10221210211133. The reversal of 10221210211120 is 2111201212201.

10221210211120 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 (20).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 10221210211094 and 10221210211103.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 63882563740 + ... + 63882563899.

It is an arithmetic number, because the mean of its divisors is an integer number (1188215687052).

Almost surely, 2^{10221210211120} is an apocalyptic number.

10221210211120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10221210211120 is an abundant number, since it is smaller than the sum of its proper divisors (13543103529920).

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

10221210211120 is a wasteful number, since it uses less digits than its factorization.

10221210211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127765127652 (or 127765127646 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 10221210211120 its reverse (2111201212201), we get a palindrome (12332411423321).

The spelling of 10221210211120 in words is "ten trillion, two hundred twenty-one billion, two hundred ten million, two hundred eleven thousand, one hundred twenty".