221002222121120 has 96 divisors (see below), whose sum is σ = 573930962168256. Its totient is φ = 79750975283200.

The previous prime is 221002222121011. The next prime is 221002222121123. The reversal of 221002222121120 is 21121222200122.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 221002222121092 and 221002222121101.

It is not an unprimeable number, because it can be changed into a prime (221002222121123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 479042129 + ... + 479503248.

It is an arithmetic number, because the mean of its divisors is an integer number (5978447522586).

Almost surely, 2^{221002222121120} is an apocalyptic number.

221002222121120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221002222121120 is an abundant number, since it is smaller than the sum of its proper divisors (352928740047136).

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

221002222121120 is a wasteful number, since it uses less digits than its factorization.

221002222121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 958545534 (or 958545526 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 221002222121120 its reverse (21121222200122), we get a palindrome (242123444321242).

The spelling of 221002222121120 in words is "two hundred twenty-one trillion, two billion, two hundred twenty-two million, one hundred twenty-one thousand, one hundred twenty".