100100101000001 has 8 divisors (see below), whose sum is σ = 100619071787904. Its totient is φ = 99581133484800.

The previous prime is 100100100999991. The next prime is 100100101000051. The reversal of 100100101000001 is 100000101001001.

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 100100101000001 - 2²² = 100100096805697 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100100101000051) 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, 82388276 + ... + 83594426.

It is an arithmetic number, because the mean of its divisors is an integer number (12577383973488).

Almost surely, 2^{100100101000001} is an apocalyptic number.

It is an amenable number.

100100101000001 is a deficient number, since it is larger than the sum of its proper divisors (518970787903).

100100101000001 is a wasteful number, since it uses less digits than its factorization.

100100101000001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1636351.

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

Adding to 100100101000001 its reverse (100000101001001), we get a palindrome (200100202001002).

The spelling of 100100101000001 in words is "one hundred trillion, one hundred billion, one hundred one million, one", and thus it is an aban number.