10102000210120 has 768 divisors, whose sum is σ = 30346379965440. Its totient is φ = 2941526016000.

The previous prime is 10102000210091. The next prime is 10102000210121. The reversal of 10102000210120 is 2101200020101.

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 = 10102000210097 and 10102000210106.

It is not an unprimeable number, because it can be changed into a prime (10102000210121) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 19389635460 + ... + 19389635980.

It is an arithmetic number, because the mean of its divisors is an integer number (39513515580).

Almost surely, 2^{10102000210120} is an apocalyptic number.

10102000210120 is a gapful number since it is divisible by the number (10) 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 10102000210120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15173189982720).

10102000210120 is an abundant number, since it is smaller than the sum of its proper divisors (20244379755320).

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

10102000210120 is a wasteful number, since it uses less digits than its factorization.

10102000210120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 878 (or 843 counting only the distinct ones).

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

Adding to 10102000210120 its reverse (2101200020101), we get a palindrome (12203200230221).

The spelling of 10102000210120 in words is "ten trillion, one hundred two billion, two hundred ten thousand, one hundred twenty".