210110020120 has 512 divisors, whose sum is σ = 652138905600. Its totient is φ = 58810521600.

The previous prime is 210110020063. The next prime is 210110020121. The reversal of 210110020120 is 21020011012.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 210110020097 and 210110020106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210110020121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 585264501 + ... + 585264859.

It is an arithmetic number, because the mean of its divisors is an integer number (1273708800).

Almost surely, 2^210110020120 is an apocalyptic number.

210110020120 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 210110020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326069452800).

210110020120 is an abundant number, since it is smaller than the sum of its proper divisors (442028885480).

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

210110020120 is a wasteful number, since it uses less digits than its factorization.

210110020120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 759 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 210110020120 its reverse (21020011012), we get a palindrome (231130031132).

The spelling of 210110020120 in words is "two hundred ten billion, one hundred ten million, twenty thousand, one hundred twenty".