101100000100001 has 8 divisors (see below), whose sum is σ = 115640692031424. Its totient is φ = 86583766862160.

The previous prime is 101100000099983. The next prime is 101100000100013. The reversal of 101100000100001 is 100001000001101.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101100000100001 is a prime.

101100000100001 is a modest number, since divided by 100001 gives 10110 as remainder.

It is not an unprimeable number, because it can be changed into a prime (101100000100901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6114664535 + ... + 6114681068.

It is an arithmetic number, because the mean of its divisors is an integer number (14455086503928).

Almost surely, 2^{101100000100001} is an apocalyptic number.

It is an amenable number.

101100000100001 is a deficient number, since it is larger than the sum of its proper divisors (14540691931423).

101100000100001 is a wasteful number, since it uses less digits than its factorization.

101100000100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12229346791.

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 101100000100001 its reverse (100001000001101), we get a palindrome (201101000101102).

The spelling of 101100000100001 in words is "one hundred one trillion, one hundred billion, one hundred thousand, one".