221101201120 has 24 divisors (see below), whose sum is σ = 522351588024. Its totient is φ = 88440480384.

The previous prime is 221101201117. The next prime is 221101201133. The reversal of 221101201120 is 21102101122.

221101201120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×221101201120² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 221101201120.

It is a congruent number.

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, 690941094 + ... + 690941413.

It is an arithmetic number, because the mean of its divisors is an integer number (21764649501).

Almost surely, 2^221101201120 is an apocalyptic number.

221101201120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221101201120 is an abundant number, since it is smaller than the sum of its proper divisors (301250386904).

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

221101201120 is a wasteful number, since it uses less digits than its factorization.

221101201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1381882522 (or 1381882514 counting only the distinct ones).

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

Adding to 221101201120 its reverse (21102101122), we get a palindrome (242203302242).

The spelling of 221101201120 in words is "two hundred twenty-one billion, one hundred one million, two hundred one thousand, one hundred twenty".