210111002001120 has 384 divisors, whose sum is σ = 748094108590080. Its totient is φ = 49120768327680.

The previous prime is 210111002001029. The next prime is 210111002001139. The reversal of 210111002001120 is 21100200111012.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 210111002001096 and 210111002001105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17316801 + ... + 26834559.

It is an arithmetic number, because the mean of its divisors is an integer number (1948161741120).

Almost surely, 2^{210111002001120} is an apocalyptic number.

210111002001120 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 210111002001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374047054295040).

210111002001120 is an abundant number, since it is smaller than the sum of its proper divisors (537983106588960).

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

210111002001120 is a wasteful number, since it uses less digits than its factorization.

210111002001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9517938 (or 9517930 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 210111002001120 its reverse (21100200111012), we get a palindrome (231211202112132).

The spelling of 210111002001120 in words is "two hundred ten trillion, one hundred eleven billion, two million, one thousand, one hundred twenty".