101006006000 has 40 divisors (see below), whose sum is σ = 244232527344. Its totient is φ = 40402401600.

The previous prime is 101006005999. The next prime is 101006006009. The reversal of 101006006000 is 600600101.

101006006000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101006006009) 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 7 ways as a sum of consecutive naturals, for example, 25249502 + ... + 25253501.

Almost surely, 2^101006006000 is an apocalyptic number.

101006006000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101006006000 is an abundant number, since it is smaller than the sum of its proper divisors (143226521344).

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

101006006000 is an equidigital number, since it uses as much as digits as its factorization.

101006006000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50503026 (or 50503010 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 101006006000 its reverse (600600101), we get a palindrome (101606606101).

The spelling of 101006006000 in words is "one hundred one billion, six million, six thousand".