10512000410000 has 100 divisors (see below), whose sum is σ = 25636378367292. Its totient is φ = 4174107648000.

The previous prime is 10512000409979. The next prime is 10512000410003. The reversal of 10512000410000 is 1400021501.

It can be written as a sum of positive squares in 10 ways, for example, as 7376395266304 + 3135605143696 = 2715952^2 + 1770764^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×10512000410000² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10512000410003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2466497 + ... + 5206496.

Almost surely, 2^{10512000410000} is an apocalyptic number.

10512000410000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10512000410000 is an abundant number, since it is smaller than the sum of its proper divisors (15124377957292).

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

10512000410000 is an equidigital number, since it uses as much as digits as its factorization.

10512000410000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7673158 (or 7673137 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 14.

Adding to 10512000410000 its reverse (1400021501), we get a palindrome (10513400431501).

The spelling of 10512000410000 in words is "ten trillion, five hundred twelve billion, four hundred ten thousand".