210010133211000 has 512 divisors, whose sum is σ = 702983096524800. Its totient is φ = 52068234240000.

The previous prime is 210010133210947. The next prime is 210010133211001. The reversal of 210010133211000 is 112331010012.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210010133211001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 766522036 + ... + 766795964.

It is an arithmetic number, because the mean of its divisors is an integer number (1373013860400).

Almost surely, 2^{210010133211000} is an apocalyptic number.

210010133211000 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 210010133211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351491548262400).

210010133211000 is an abundant number, since it is smaller than the sum of its proper divisors (492972963313800).

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

210010133211000 is a wasteful number, since it uses less digits than its factorization.

210010133211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274288 (or 274274 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 210010133211000 its reverse (112331010012), we get a palindrome (210122464221012).

The spelling of 210010133211000 in words is "two hundred ten trillion, ten billion, one hundred thirty-three million, two hundred eleven thousand".