101138004432 has 80 divisors (see below), whose sum is σ = 299668200960. Its totient is φ = 32625158400.

The previous prime is 101138004403. The next prime is 101138004439. The reversal of 101138004432 is 234400831101.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 101138004396 and 101138004405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101138004439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3762669 + ... + 3789452.

It is an arithmetic number, because the mean of its divisors is an integer number (3745852512).

Almost surely, 2^101138004432 is an apocalyptic number.

101138004432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101138004432 is an abundant number, since it is smaller than the sum of its proper divisors (198530196528).

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

101138004432 is a wasteful number, since it uses less digits than its factorization.

101138004432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7552169 (or 7552157 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 101138004432 its reverse (234400831101), we get a palindrome (335538835533).

The spelling of 101138004432 in words is "one hundred one billion, one hundred thirty-eight million, four thousand, four hundred thirty-two".