210102000112000 has 128 divisors (see below), whose sum is σ = 523210009514400. Its totient is φ = 83905027430400.

The previous prime is 210102000111959. The next prime is 210102000112009. The reversal of 210102000112000 is 211000201012.

It is a tau number, because it is divible by the number of its divisors (128).

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 (210102000112009) 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, 702927 + ... + 20510926.

Almost surely, 2^{210102000112000} is an apocalyptic number.

210102000112000 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 210102000112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261605004757200).

210102000112000 is an abundant number, since it is smaller than the sum of its proper divisors (313108009402400).

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

210102000112000 is an equidigital number, since it uses as much as digits as its factorization.

210102000112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21214501 (or 21214479 counting only the distinct ones).

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

Adding to 210102000112000 its reverse (211000201012), we get a palindrome (210313000313012).

The spelling of 210102000112000 in words is "two hundred ten trillion, one hundred two billion, one hundred twelve thousand".