221111110100120 has 256 divisors, whose sum is σ = 512879726880000. Its totient is φ = 85767060750336.

The previous prime is 221111110100119. The next prime is 221111110100137. The reversal of 221111110100120 is 21001011111122.

It is a junction number, because it is equal to n+sod(n) for n = 221111110100095 and 221111110100104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21398534474 + ... + 21398544806.

It is an arithmetic number, because the mean of its divisors is an integer number (2003436433125).

Almost surely, 2^{221111110100120} is an apocalyptic number.

221111110100120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221111110100120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256439863440000).

221111110100120 is an abundant number, since it is smaller than the sum of its proper divisors (291768616779880).

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

221111110100120 is a wasteful number, since it uses less digits than its factorization.

221111110100120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11062 (or 11058 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 221111110100120 its reverse (21001011111122), we get a palindrome (242112121211242).

The spelling of 221111110100120 in words is "two hundred twenty-one trillion, one hundred eleven billion, one hundred ten million, one hundred thousand, one hundred twenty".