221011021111120 has 40 divisors (see below), whose sum is σ = 518839465113216. Its totient is φ = 87546113213568.

The previous prime is 221011021111079. The next prime is 221011021111129. The reversal of 221011021111120 is 21111120110122.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 221011021111094 and 221011021111103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221011021111129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13410854692 + ... + 13410871171.

Almost surely, 2^{221011021111120} is an apocalyptic number.

221011021111120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221011021111120 is an abundant number, since it is smaller than the sum of its proper divisors (297828444002096).

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

221011021111120 is a wasteful number, since it uses less digits than its factorization.

221011021111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26821725979 (or 26821725973 counting only the distinct ones).

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

Adding to 221011021111120 its reverse (21111120110122), we get a palindrome (242122141221242).

The spelling of 221011021111120 in words is "two hundred twenty-one trillion, eleven billion, twenty-one million, one hundred eleven thousand, one hundred twenty".