221012201120 has 24 divisors (see below), whose sum is σ = 522141325524. Its totient is φ = 88404880384.

The previous prime is 221012201117. The next prime is 221012201141. The reversal of 221012201120 is 21102210122.

221012201120 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 2 ways, for example, as 213625142416 + 7387058704 = 462196^2 + 85948^2 .

It is a junction number, because it is equal to n+sod(n) for n = 221012201095 and 221012201104.

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 3 ways as a sum of consecutive naturals, for example, 690662969 + ... + 690663288.

Almost surely, 2^221012201120 is an apocalyptic number.

221012201120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221012201120 is an abundant number, since it is smaller than the sum of its proper divisors (301129124404).

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

221012201120 is a wasteful number, since it uses less digits than its factorization.

221012201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1381326272 (or 1381326264 counting only the distinct ones).

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

Adding to 221012201120 its reverse (21102210122), we get a palindrome (242114411242).

The spelling of 221012201120 in words is "two hundred twenty-one billion, twelve million, two hundred one thousand, one hundred twenty".