10212052114304 has 64 divisors (see below), whose sum is σ = 20734027498800. Its totient is φ = 5008593285120.

The previous prime is 10212052114247. The next prime is 10212052114331. The reversal of 10212052114304 is 40341125021201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2014844 + ... + 4948100.

Almost surely, 2^{10212052114304} 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 10212052114304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10367013749400).

10212052114304 is an abundant number, since it is smaller than the sum of its proper divisors (10521975384496).

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

10212052114304 is an equidigital number, since it uses as much as digits as its factorization.

10212052114304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2933791 (or 2933779 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

Adding to 10212052114304 its reverse (40341125021201), we get a palindrome (50553177135505).

The spelling of 10212052114304 in words is "ten trillion, two hundred twelve billion, fifty-two million, one hundred fourteen thousand, three hundred four".