221012110120 has 64 divisors (see below), whose sum is σ = 526591400400. Its totient is φ = 83194675200.

The previous prime is 221012110093. The next prime is 221012110127. The reversal of 221012110120 is 21011210122.

221012110120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 98521909924 + 122490200196 = 313882^2 + 349986^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 221012110120.

It is not an unprimeable number, because it can be changed into a prime (221012110127) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 8419576 + ... + 8445784.

Almost surely, 2^221012110120 is an apocalyptic number.

221012110120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221012110120 is an abundant number, since it is smaller than the sum of its proper divisors (305579290280).

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

221012110120 is a wasteful number, since it uses less digits than its factorization.

221012110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38638 (or 38634 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 221012110120 its reverse (21011210122), we get a palindrome (242023320242).

The spelling of 221012110120 in words is "two hundred twenty-one billion, twelve million, one hundred ten thousand, one hundred twenty".