210120221011120 has 160 divisors (see below), whose sum is σ = 576357698174976. Its totient is φ = 69713927424000.

The previous prime is 210120221011091. The next prime is 210120221011147. The reversal of 210120221011120 is 21110122021012.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 210120221011094 and 210120221011103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 371238577 + ... + 371804143.

Almost surely, 2^{210120221011120} is an apocalyptic number.

210120221011120 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 210120221011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288178849087488).

210120221011120 is an abundant number, since it is smaller than the sum of its proper divisors (366237477163856).

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

210120221011120 is a wasteful number, since it uses less digits than its factorization.

210120221011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587019 (or 587013 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 210120221011120 its reverse (21110122021012), we get a palindrome (231230343032132).

The spelling of 210120221011120 in words is "two hundred ten trillion, one hundred twenty billion, two hundred twenty-one million, eleven thousand, one hundred twenty".