221002222002120 has 128 divisors (see below), whose sum is σ = 793341309801600. Its totient is φ = 54400546950912.

The previous prime is 221002222002113. The next prime is 221002222002139. The reversal of 221002222002120 is 21200222200122.

221002222002120 is a `hidden beast` number, since 2 + 210 + 0 + 22 + 220 + 0 + 212 + 0 = 666.

221002222002120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 221002222002093 and 221002222002102.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7870435462 + ... + 7870463541.

It is an arithmetic number, because the mean of its divisors is an integer number (6197978982825).

Almost surely, 2^{221002222002120} is an apocalyptic number.

221002222002120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221002222002120 is an abundant number, since it is smaller than the sum of its proper divisors (572339087799480).

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

221002222002120 is a wasteful number, since it uses less digits than its factorization.

221002222002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15740899036 (or 15740899026 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 221002222002120 its reverse (21200222200122), we get a palindrome (242202444202242).

The spelling of 221002222002120 in words is "two hundred twenty-one trillion, two billion, two hundred twenty-two million, two thousand, one hundred twenty".