100101001068 has 36 divisors (see below), whose sum is σ = 262404684360. Its totient is φ = 33367000032.

The previous prime is 100101001067. The next prime is 100101001103. The reversal of 100101001068 is 860100101001.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 100101001068.

It is not an unprimeable number, because it can be changed into a prime (100101001067) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51491313 + ... + 51493256.

It is an arithmetic number, because the mean of its divisors is an integer number (7289019010).

Almost surely, 2^100101001068 is an apocalyptic number.

100101001068 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

100101001068 is an abundant number, since it is smaller than the sum of its proper divisors (162303683292).

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

100101001068 is a wasteful number, since it uses less digits than its factorization.

100101001068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102984588 (or 102984574 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 100101001068 its reverse (860100101001), we get a palindrome (960201102069).

The spelling of 100101001068 in words is "one hundred billion, one hundred one million, one thousand, sixty-eight".