100000001100001 has 8 divisors (see below), whose sum is σ = 100067129737344. Its totient is φ = 99932873718720.

The previous prime is 100000001099987. The next prime is 100000001100037. The reversal of 100000001100001 is 100001100000001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100000001100001 - 2⁵ = 100000001099969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100000001100061) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 203003140 + ... + 203495146.

It is an arithmetic number, because the mean of its divisors is an integer number (12508391217168).

Almost surely, 2^{100000001100001} is an apocalyptic number.

It is an amenable number.

100000001100001 is a deficient number, since it is larger than the sum of its proper divisors (67128637343).

100000001100001 is a wasteful number, since it uses less digits than its factorization.

100000001100001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628031.

The product of its (nonzero) digits is 1, while the sum is 4.

Adding to 100000001100001 its reverse (100001100000001), we get a palindrome (200001101100002).

It can be divided in two parts, 100000001 and 100001, that multiplied together give a palindrome (10000100100001).

The spelling of 100000001100001 in words is "one hundred trillion, one million, one hundred thousand, one".