10100099968 has 128 divisors (see below), whose sum is σ = 23584619520. Its totient is φ = 4218587136.

The previous prime is 10100099957. The next prime is 10100099981. The reversal of 10100099968 is 86999000101.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15707455 + ... + 15708097.

It is an arithmetic number, because the mean of its divisors is an integer number (184254840).

Almost surely, 2^10100099968 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 10100099968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11792309760).

10100099968 is an abundant number, since it is smaller than the sum of its proper divisors (13484519552).

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

10100099968 is an equidigital number, since it uses as much as digits as its factorization.

10100099968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1084 (or 1072 counting only the distinct ones).

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

The spelling of 10100099968 in words is "ten billion, one hundred million, ninety-nine thousand, nine hundred sixty-eight".