101000099968 has 64 divisors (see below), whose sum is σ = 203732474400. Its totient is φ = 49869545472.

The previous prime is 101000099957. The next prime is 101000099969. The reversal of 101000099968 is 869990000101.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (101000099969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5789563 + ... + 5806981.

Almost surely, 2^101000099968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101000099968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101866237200).

101000099968 is an abundant number, since it is smaller than the sum of its proper divisors (102732374432).

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

101000099968 is an equidigital number, since it uses as much as digits as its factorization.

101000099968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17997 (or 17985 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 43.

The spelling of 101000099968 in words is "one hundred one billion, ninety-nine thousand, nine hundred sixty-eight".