210021010000120 has 256 divisors, whose sum is σ = 530673764474880. Its totient is φ = 74155011840000.

The previous prime is 210021010000049. The next prime is 210021010000157. The reversal of 210021010000120 is 21000010120012.

210021010000120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 210021010000097 and 210021010000106.

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, 3835902745 + ... + 3835957495.

It is an arithmetic number, because the mean of its divisors is an integer number (2072944392480).

Almost surely, 2^{210021010000120} is an apocalyptic number.

210021010000120 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 210021010000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265336882237440).

210021010000120 is an abundant number, since it is smaller than the sum of its proper divisors (320652754474760).

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

210021010000120 is a wasteful number, since it uses less digits than its factorization.

210021010000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56526 (or 56522 counting only the distinct ones).

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

Adding to 210021010000120 its reverse (21000010120012), we get a palindrome (231021020120132).

The spelling of 210021010000120 in words is "two hundred ten trillion, twenty-one billion, ten million, one hundred twenty", and thus it is an aban number.