10216127600 has 90 divisors (see below), whose sum is σ = 28551525264. Its totient is φ = 3502665600.

The previous prime is 10216127539. The next prime is 10216127641. The reversal of 10216127600 is 672161201.

10216127600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 10216127600.

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 241016 + ... + 280215.

Almost surely, 2^10216127600 is an apocalyptic number.

10216127600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10216127600 is an abundant number, since it is smaller than the sum of its proper divisors (18335397664).

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

10216127600 is a wasteful number, since it uses less digits than its factorization.

10216127600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521263 (or 521245 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 26.

Adding to 10216127600 its reverse (672161201), we get a palindrome (10888288801).

The spelling of 10216127600 in words is "ten billion, two hundred sixteen million, one hundred twenty-seven thousand, six hundred".