210202210000 has 100 divisors (see below), whose sum is σ = 513961857684. Its totient is φ = 83248000000.

The previous prime is 210202209991. The next prime is 210202210033. The reversal of 210202210000 is 12202012.

210202210000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 10 ways, for example, as 154577930896 + 55624279104 = 393164^2 + 235848^2 .

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

It is a super-3 number, since 3×210202210000³ (a number of 35 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

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, 905940 + ... + 1114060.

Almost surely, 2^210202210000 is an apocalyptic number.

210202210000 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 210202210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256980928842).

210202210000 is an abundant number, since it is smaller than the sum of its proper divisors (303759647684).

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

210202210000 is a wasteful number, since it uses less digits than its factorization.

210202210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208250 (or 208229 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 210202210000 its reverse (12202012), we get a palindrome (210214412012).

The spelling of 210202210000 in words is "two hundred ten billion, two hundred two million, two hundred ten thousand".