210110012112000 has 4096 divisors, whose sum is σ = 974214007603200. Its totient is φ = 38650576896000.

The previous prime is 210110012111981. The next prime is 210110012112001. The reversal of 210110012112000 is 211210011012.

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

It is not an unprimeable number, because it can be changed into a prime (210110012112001) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 129777647191 + ... + 129777648809.

It is an arithmetic number, because the mean of its divisors is an integer number (237845216700).

Almost surely, 2^{210110012112000} is an apocalyptic number.

210110012112000 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 210110012112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487107003801600).

210110012112000 is an abundant number, since it is smaller than the sum of its proper divisors (764103995491200).

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

210110012112000 is a wasteful number, since it uses less digits than its factorization.

210110012112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1792 (or 1770 counting only the distinct ones).

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

Adding to 210110012112000 its reverse (211210011012), we get a palindrome (210321222123012).

It can be divided in two parts, 210110012 and 112000, that added together give a palindrome (210222012).

The spelling of 210110012112000 in words is "two hundred ten trillion, one hundred ten billion, twelve million, one hundred twelve thousand".