10127222700 has 288 divisors, whose sum is σ = 34134481920. Its totient is φ = 2270592000.

The previous prime is 10127222657. The next prime is 10127222717. The reversal of 10127222700 is 722272101.

10127222700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 95 ways as a sum of consecutive naturals, for example, 34563754 + ... + 34564046.

Almost surely, 2^10127222700 is an apocalyptic number.

10127222700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10127222700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17067240960).

10127222700 is an abundant number, since it is smaller than the sum of its proper divisors (24007259220).

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

10127222700 is a wasteful number, since it uses less digits than its factorization.

10127222700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 24.

Adding to 10127222700 its reverse (722272101), we get a palindrome (10849494801).

The spelling of 10127222700 in words is "ten billion, one hundred twenty-seven million, two hundred twenty-two thousand, seven hundred".