101839748719128 has 128 divisors (see below), whose sum is σ = 300973619281920. Its totient is φ = 28100634929280.

The previous prime is 101839748719127. The next prime is 101839748719201. The reversal of 101839748719128 is 821917847938101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101839748719127) 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 31 ways as a sum of consecutive naturals, for example, 17540176 + ... + 22612767.

It is an arithmetic number, because the mean of its divisors is an integer number (2351356400640).

Almost surely, 2^{101839748719128} is an apocalyptic number.

It is an amenable number.

101839748719128 is an abundant number, since it is smaller than the sum of its proper divisors (199133870562792).

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

101839748719128 is a wasteful number, since it uses less digits than its factorization.

101839748719128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40153477 (or 40153473 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 69.

The spelling of 101839748719128 in words is "one hundred one trillion, eight hundred thirty-nine billion, seven hundred forty-eight million, seven hundred nineteen thousand, one hundred twenty-eight".