221120111101120 has 336 divisors, whose sum is σ = 684249875104320. Its totient is φ = 66543980912640.

The previous prime is 221120111101117. The next prime is 221120111101199. The reversal of 221120111101120 is 21101111021122.

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 = 221120111101094 and 221120111101103.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6205719 + ... + 21926038.

It is an arithmetic number, because the mean of its divisors is an integer number (2036457961620).

Almost surely, 2^{221120111101120} is an apocalyptic number.

221120111101120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221120111101120 is an abundant number, since it is smaller than the sum of its proper divisors (463129764003200).

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

221120111101120 is a wasteful number, since it uses less digits than its factorization.

221120111101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28131832 (or 28131811 counting only the distinct ones).

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

Adding to 221120111101120 its reverse (21101111021122), we get a palindrome (242221222122242).

The spelling of 221120111101120 in words is "two hundred twenty-one trillion, one hundred twenty billion, one hundred eleven million, one hundred one thousand, one hundred twenty".