210011212221120 has 168 divisors, whose sum is σ = 739969384452480. Its totient is φ = 54637063311360.

The previous prime is 210011212221059. The next prime is 210011212221127. The reversal of 210011212221120 is 21122212110012.

210011212221120 is a `hidden beast` number, since 2 + 100 + 11 + 212 + 221 + 120 = 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 = 210011212221093 and 210011212221102.

It is not an unprimeable number, because it can be changed into a prime (210011212221127) by changing a digit.

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, 889157040 + ... + 889393199.

It is an arithmetic number, because the mean of its divisors is an integer number (4404579669360).

Almost surely, 2^{210011212221120} is an apocalyptic number.

210011212221120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210011212221120 is an abundant number, since it is smaller than the sum of its proper divisors (529958172231360).

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

210011212221120 is a wasteful number, since it uses less digits than its factorization.

210011212221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1778550303 (or 1778550290 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 210011212221120 its reverse (21122212110012), we get a palindrome (231133424331132).

The spelling of 210011212221120 in words is "two hundred ten trillion, eleven billion, two hundred twelve million, two hundred twenty-one thousand, one hundred twenty".