100101100099968 has 288 divisors, whose sum is σ = 316643283203520. Its totient is φ = 30331284572160.

The previous prime is 100101100099967. The next prime is 100101100100009. The reversal of 100101100099968 is 869990001101001.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100101100099967) 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 35 ways as a sum of consecutive naturals, for example, 2707392330 + ... + 2707429302.

Almost surely, 2^{100101100099968} is an apocalyptic number.

100101100099968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100101100099968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158321641601760).

100101100099968 is an abundant number, since it is smaller than the sum of its proper divisors (216542183103552).

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

100101100099968 is a wasteful number, since it uses less digits than its factorization.

100101100099968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56438 (or 56412 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 45.

The spelling of 100101100099968 in words is "one hundred trillion, one hundred one billion, one hundred million, ninety-nine thousand, nine hundred sixty-eight".