210011200010112 has 384 divisors, whose sum is σ = 578353430707200. Its totient is φ = 67511597260800.

The previous prime is 210011200010107. The next prime is 210011200010177. The reversal of 210011200010112 is 211010002110012.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54534196987 + ... + 54534200837.

It is an arithmetic number, because the mean of its divisors is an integer number (1506128725800).

Almost surely, 2^{210011200010112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210011200010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289176715353600).

210011200010112 is an abundant number, since it is smaller than the sum of its proper divisors (368342230697088).

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

210011200010112 is an equidigital number, since it uses as much as digits as its factorization.

210011200010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4906 (or 4851 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 210011200010112 its reverse (211010002110012), we get a palindrome (421021202120124).

The spelling of 210011200010112 in words is "two hundred ten trillion, eleven billion, two hundred million, ten thousand, one hundred twelve".