201010210000 has 100 divisors (see below), whose sum is σ = 515293656372. Its totient is φ = 75674368000.

The previous prime is 201010209989. The next prime is 201010210001. The reversal of 201010210000 is 12010102.

201010210000 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 137276178064 + 63734031936 = 370508^2 + 252456^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201010210001) 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, 421207 + ... + 761206.

Almost surely, 2^201010210000 is an apocalyptic number.

201010210000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201010210000 is an abundant number, since it is smaller than the sum of its proper divisors (314283446372).

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

201010210000 is a wasteful number, since it uses less digits than its factorization.

201010210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1182458 (or 1182437 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 201010210000 its reverse (12010102), we get a palindrome (201022220102).

The spelling of 201010210000 in words is "two hundred one billion, ten million, two hundred ten thousand".