210242103032000 has 224 divisors, whose sum is σ = 560741751670464. Its totient is φ = 77624245248000.

The previous prime is 210242103031973. The next prime is 210242103032041. The reversal of 210242103032000 is 230301242012.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3468681695 + ... + 3468742305.

It is an arithmetic number, because the mean of its divisors is an integer number (2503311391386).

Almost surely, 2^{210242103032000} is an apocalyptic number.

210242103032000 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 210242103032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280370875835232).

210242103032000 is an abundant number, since it is smaller than the sum of its proper divisors (350499648638464).

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

210242103032000 is a wasteful number, since it uses less digits than its factorization.

210242103032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94004 (or 93984 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 210242103032000 its reverse (230301242012), we get a palindrome (210472404274012).

The spelling of 210242103032000 in words is "two hundred ten trillion, two hundred forty-two billion, one hundred three million, thirty-two thousand".