101348438399 has 16 divisors (see below), whose sum is σ = 115578550080. Its totient is φ = 88038796800.

The previous prime is 101348438393. The next prime is 101348438461. The reversal of 101348438399 is 993834843101.

It is a cyclic number.

It is not a de Polignac number, because 101348438399 - 2¹⁶ = 101348372863 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101348438399.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101348438393) 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 15 ways as a sum of consecutive naturals, for example, 2254262 + ... + 2298780.

It is an arithmetic number, because the mean of its divisors is an integer number (7223659380).

Almost surely, 2^101348438399 is an apocalyptic number.

101348438399 is a deficient number, since it is larger than the sum of its proper divisors (14230111681).

101348438399 is a wasteful number, since it uses less digits than its factorization.

101348438399 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54850.

The product of its (nonzero) digits is 2239488, while the sum is 53.

The spelling of 101348438399 in words is "one hundred one billion, three hundred forty-eight million, four hundred thirty-eight thousand, three hundred ninety-nine".