1000210114304 has 72 divisors (see below), whose sum is σ = 2050976539920. Its totient is φ = 486469214208.

The previous prime is 1000210114301. The next prime is 1000210114367. The reversal of 1000210114304 is 4034110120001.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000210114301) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47908412 + ... + 47929284.

Almost surely, 2^{1000210114304} 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 1000210114304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1025488269960).

1000210114304 is an abundant number, since it is smaller than the sum of its proper divisors (1050766425616).

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

1000210114304 is an equidigital number, since it uses as much as digits as its factorization.

1000210114304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25985 (or 25971 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 1000210114304 its reverse (4034110120001), we get a palindrome (5034320234305).

The spelling of 1000210114304 in words is "one trillion, two hundred ten million, one hundred fourteen thousand, three hundred four".