221102112201120 has 96 divisors (see below), whose sum is σ = 773857392719040. Its totient is φ = 58960563252480.

The previous prime is 221102112201107. The next prime is 221102112201137. The reversal of 221102112201120 is 21102211201122.

221102112201120 is a `hidden beast` number, since 2 + 2 + 110 + 211 + 220 + 1 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×221102112201120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 221102112201093 and 221102112201102.

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 15 ways as a sum of consecutive naturals, for example, 25590517926 + ... + 25590526565.

It is an arithmetic number, because the mean of its divisors is an integer number (8061014507490).

Almost surely, 2^{221102112201120} is an apocalyptic number.

221102112201120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221102112201120 is an abundant number, since it is smaller than the sum of its proper divisors (552755280517920).

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

221102112201120 is a wasteful number, since it uses less digits than its factorization.

221102112201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51181044515 (or 51181044501 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 221102112201120 its reverse (21102211201122), we get a palindrome (242204323402242).

The spelling of 221102112201120 in words is "two hundred twenty-one trillion, one hundred two billion, one hundred twelve million, two hundred one thousand, one hundred twenty".