210010012010000 has 100 divisors (see below), whose sum is σ = 508487205158592. Its totient is φ = 83998723728000.

The previous prime is 210010012009951. The next prime is 210010012010003. The reversal of 210010012010000 is 10210010012.

It is a tau number, because it is divible by the number of its divisors (100).

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

It is a self number, because there is not a number n which added to its sum of digits gives 210010012010000.

It is not an unprimeable number, because it can be changed into a prime (210010012010003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 160377917 + ... + 161682083.

Almost surely, 2^{210010012010000} is an apocalyptic number.

210010012010000 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 210010012010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254243602579296).

210010012010000 is an abundant number, since it is smaller than the sum of its proper divisors (298477193148592).

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

210010012010000 is a wasteful number, since it uses less digits than its factorization.

210010012010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1320298 (or 1320277 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 210010012010000 its reverse (10210010012), we get a palindrome (210020222020012).

The spelling of 210010012010000 in words is "two hundred ten trillion, ten billion, twelve million, ten thousand".