101038354848 has 72 divisors (see below), whose sum is σ = 287419450500. Its totient is φ = 33668711424.

The previous prime is 101038354847. The next prime is 101038354877. The reversal of 101038354848 is 848453830101.

101038354848 is a `hidden beast` number, since 10 + 10 + 3 + 83 + 548 + 4 + 8 = 666.

101038354848 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 100354636944 + 683717904 = 316788^2 + 26148^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (101038354841) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 875628 + ... + 984276.

Almost surely, 2^101038354848 is an apocalyptic number.

101038354848 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

101038354848 is an abundant number, since it is smaller than the sum of its proper divisors (186381095652).

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

101038354848 is a wasteful number, since it uses less digits than its factorization.

101038354848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111894 (or 111883 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 101038354848 in words is "one hundred one billion, thirty-eight million, three hundred fifty-four thousand, eight hundred forty-eight".