210120021000000 has 784 divisors, whose sum is σ = 772964493427840. Its totient is φ = 55971648000000.

The previous prime is 210120020999851. The next prime is 210120021000013. The reversal of 210120021000000 is 120021012.

210120021000000 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 (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 28700996340 + ... + 28701003660.

It is an arithmetic number, because the mean of its divisors is an integer number (985924098760).

Almost surely, 2^{210120021000000} is an apocalyptic number.

210120021000000 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 210120021000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386482246713920).

210120021000000 is an abundant number, since it is smaller than the sum of its proper divisors (562844472427840).

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

210120021000000 is an frugal number, since it uses more digits than its factorization.

210120021000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8435 (or 8394 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 210120021000000 its reverse (120021012), we get a palindrome (210120141021012).

The spelling of 210120021000000 in words is "two hundred ten trillion, one hundred twenty billion, twenty-one million", and thus it is an aban number.