2221331100120 has 384 divisors, whose sum is σ = 8103391994880. Its totient is φ = 523047168000.

The previous prime is 2221331100101. The next prime is 2221331100137. The reversal of 2221331100120 is 210011331222.

2221331100120 is a `hidden beast` number, since 2 + 221 + 331 + 100 + 12 + 0 = 666.

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 = 2221331100093 and 2221331100102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36825585 + ... + 36885855.

It is an arithmetic number, because the mean of its divisors is an integer number (21102583320).

Almost surely, 2^{2221331100120} is an apocalyptic number.

2221331100120 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 2221331100120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4051695997440).

2221331100120 is an abundant number, since it is smaller than the sum of its proper divisors (5882060894760).

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

2221331100120 is a wasteful number, since it uses less digits than its factorization.

2221331100120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60567 (or 60560 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 2221331100120 its reverse (210011331222), we get a palindrome (2431342431342).

The spelling of 2221331100120 in words is "two trillion, two hundred twenty-one billion, three hundred thirty-one million, one hundred thousand, one hundred twenty".