100001209968 has 60 divisors (see below), whose sum is σ = 305306729208. Its totient is φ = 30303396480.

The previous prime is 100001209961. The next prime is 100001209969. The reversal of 100001209968 is 869902100001.

It is a super-2 number, since 2×100001209968² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100001209961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31564455 + ... + 31567622.

Almost surely, 2^100001209968 is an apocalyptic number.

100001209968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

100001209968 is an abundant number, since it is smaller than the sum of its proper divisors (205305519240).

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

100001209968 is a wasteful number, since it uses less digits than its factorization.

100001209968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63132102 (or 63132093 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

Adding to 100001209968 its reverse (869902100001), we get a palindrome (969903309969).

The spelling of 100001209968 in words is "one hundred billion, one million, two hundred nine thousand, nine hundred sixty-eight".