10211412516 has 48 divisors (see below), whose sum is σ = 25091102400. Its totient is φ = 3223314432.

The previous prime is 10211412451. The next prime is 10211412529. The reversal of 10211412516 is 61521411201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 638020 + ... + 653828.

It is an arithmetic number, because the mean of its divisors is an integer number (522731300).

Almost surely, 2^10211412516 is an apocalyptic number.

It is an amenable number.

10211412516 is an abundant number, since it is smaller than the sum of its proper divisors (14879689884).

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

10211412516 is a wasteful number, since it uses less digits than its factorization.

10211412516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18668 (or 18666 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 24.

Adding to 10211412516 its reverse (61521411201), we get a palindrome (71732823717).

The spelling of 10211412516 in words is "ten billion, two hundred eleven million, four hundred twelve thousand, five hundred sixteen".