221021002212120 has 96 divisors (see below), whose sum is σ = 783619916947920. Its totient is φ = 53580849020160.

The previous prime is 221021002212061. The next prime is 221021002212139. The reversal of 221021002212120 is 21212200120122.

It is a happy number.

221021002212120 is a `hidden beast` number, since 2 + 21 + 0 + 210 + 0 + 221 + 212 + 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 = 221021002212093 and 221021002212102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27906688239 + ... + 27906696158.

Almost surely, 2^{221021002212120} is an apocalyptic number.

221021002212120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221021002212120 is an abundant number, since it is smaller than the sum of its proper divisors (562598914735800).

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

221021002212120 is a wasteful number, since it uses less digits than its factorization.

221021002212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55813384425 (or 55813384418 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 221021002212120 its reverse (21212200120122), we get a palindrome (242233202332242).

The spelling of 221021002212120 in words is "two hundred twenty-one trillion, twenty-one billion, two million, two hundred twelve thousand, one hundred twenty".