210120200000000 has 360 divisors, whose sum is σ = 527550040441116. Its totient is φ = 83605760000000.

The previous prime is 210120199999991. The next prime is 210120200000021. The reversal of 210120200000000 is 2021012.

It can be written as a sum of positive squares in 18 ways, for example, as 207153152409856 + 2967047590144 = 14392816^2 + 1722512^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 39399997334 + ... + 39400002666.

Almost surely, 2^{210120200000000} is an apocalyptic number.

210120200000000 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 210120200000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263775020220558).

210120200000000 is an abundant number, since it is smaller than the sum of its proper divisors (317429840441116).

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

210120200000000 is an frugal number, since it uses more digits than its factorization.

210120200000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5588 (or 5537 counting only the distinct ones).

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

Adding to 210120200000000 its reverse (2021012), we get a palindrome (210120202021012).

The spelling of 210120200000000 in words is "two hundred ten trillion, one hundred twenty billion, two hundred million", and thus it is an aban number.