101004532016 has 20 divisors (see below), whose sum is σ = 204204815472. Its totient is φ = 48306515136.

The previous prime is 101004532009. The next prime is 101004532049. The reversal of 101004532016 is 610235400101.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a junction number, because it is equal to n+sod(n) for n = 101004531982 and 101004532000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 137234051 + ... + 137234786.

Almost surely, 2^101004532016 is an apocalyptic number.

101004532016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

101004532016 is an abundant number, since it is smaller than the sum of its proper divisors (103200283456).

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

101004532016 is a wasteful number, since it uses less digits than its factorization.

101004532016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274468868 (or 274468862 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

Adding to 101004532016 its reverse (610235400101), we get a palindrome (711239932117).

The spelling of 101004532016 in words is "one hundred one billion, four million, five hundred thirty-two thousand, sixteen".