100101101000001 has 16 divisors (see below), whose sum is σ = 134807507141760. Its totient is φ = 66064556643200.

The previous prime is 100101100999993. The next prime is 100101101000009. The reversal of 100101101000001 is 100000101101001.

It is an interprime number because it is at equal distance from previous prime (100101100999993) and next prime (100101101000009).

It is a cyclic number.

It is not a de Polignac number, because 100101101000001 - 2³ = 100101100999993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100101101000009) 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 15 ways as a sum of consecutive naturals, for example, 19658325 + ... + 24220898.

It is an arithmetic number, because the mean of its divisors is an integer number (8425469196360).

Almost surely, 2^{100101101000001} is an apocalyptic number.

It is an amenable number.

100101101000001 is a deficient number, since it is larger than the sum of its proper divisors (34706406141759).

100101101000001 is a wasteful number, since it uses less digits than its factorization.

100101101000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43886856.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 100101101000001 its reverse (100000101101001), we get a palindrome (200101202101002).

The spelling of 100101101000001 in words is "one hundred trillion, one hundred one billion, one hundred one million, one", and thus it is an aban number.