10226138519800 has 96 divisors (see below), whose sum is σ = 28109287274400. Its totient is φ = 3385204462080.

The previous prime is 10226138519743. The next prime is 10226138519801. The reversal of 10226138519800 is 891583162201.

It is a super-2 number, since 2×10226138519800² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10226138519801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 125897067 + ... + 125978266.

It is an arithmetic number, because the mean of its divisors is an integer number (292805075775).

Almost surely, 2^{10226138519800} is an apocalyptic number.

10226138519800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10226138519800 is an abundant number, since it is smaller than the sum of its proper divisors (17883148754600).

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

10226138519800 is a wasteful number, since it uses less digits than its factorization.

10226138519800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251875385 (or 251875376 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 46.

The spelling of 10226138519800 in words is "ten trillion, two hundred twenty-six billion, one hundred thirty-eight million, five hundred nineteen thousand, eight hundred".