211221011000120 has 64 divisors (see below), whose sum is σ = 519273207959040. Its totient is φ = 76685916585600.

The previous prime is 211221011000117. The next prime is 211221011000159. The reversal of 211221011000120 is 21000110122112.

It is a super-2 number, since 2×211221011000120² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211221011000095 and 211221011000104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 380108852 + ... + 380664131.

It is an arithmetic number, because the mean of its divisors is an integer number (8113643874360).

Almost surely, 2^{211221011000120} is an apocalyptic number.

211221011000120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211221011000120 is an abundant number, since it is smaller than the sum of its proper divisors (308052196958920).

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

211221011000120 is a wasteful number, since it uses less digits than its factorization.

211221011000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 760773636 (or 760773632 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 211221011000120 its reverse (21000110122112), we get a palindrome (232221121122232).

The spelling of 211221011000120 in words is "two hundred eleven trillion, two hundred twenty-one billion, eleven million, one hundred twenty", and thus it is an aban number.