221200011101120 has 56 divisors (see below), whose sum is σ = 530087510799744. Its totient is φ = 87916437513216.

The previous prime is 221200011101117. The next prime is 221200011101141. The reversal of 221200011101120 is 21101110002122.

It is a super-2 number, since 2×221200011101120² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 221200011101095 and 221200011101104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2201382992 + ... + 2201483471.

Almost surely, 2^{221200011101120} is an apocalyptic number.

221200011101120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221200011101120 is an abundant number, since it is smaller than the sum of its proper divisors (308887499698624).

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

221200011101120 is a wasteful number, since it uses less digits than its factorization.

221200011101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4402866637 (or 4402866627 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 221200011101120 its reverse (21101110002122), we get a palindrome (242301121103242).

The spelling of 221200011101120 in words is "two hundred twenty-one trillion, two hundred billion, eleven million, one hundred one thousand, one hundred twenty".