210010120102000 has 80 divisors (see below), whose sum is σ = 507825058946400. Its totient is φ = 84000642163200.

The previous prime is 210010120101953. The next prime is 210010120102007. The reversal of 210010120102000 is 201021010012.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210010120102007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47501731 + ... + 51734269.

It is an arithmetic number, because the mean of its divisors is an integer number (6347813236830).

Almost surely, 2^{210010120102000} is an apocalyptic number.

210010120102000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210010120102000 is an abundant number, since it is smaller than the sum of its proper divisors (297814938844400).

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

210010120102000 is a wasteful number, since it uses less digits than its factorization.

210010120102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4257371 (or 4257355 counting only the distinct ones).

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

Adding to 210010120102000 its reverse (201021010012), we get a palindrome (210211141112012).

The spelling of 210010120102000 in words is "two hundred ten trillion, ten billion, one hundred twenty million, one hundred two thousand".