100100110000001 has 32 divisors (see below), whose sum is σ = 103722328066560. Its totient is φ = 96540576537600.

The previous prime is 100100109999991. The next prime is 100100110000049. The reversal of 100100110000001 is 100000011001001.

It is a cyclic number.

It is not a de Polignac number, because 100100110000001 - 2¹⁸ = 100100109737857 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100100110000001.

It is not an unprimeable number, because it can be changed into a prime (100100110002001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2707365551 + ... + 2707402523.

It is an arithmetic number, because the mean of its divisors is an integer number (3241322752080).

Almost surely, 2^{100100110000001} is an apocalyptic number.

It is an amenable number.

100100110000001 is a deficient number, since it is larger than the sum of its proper divisors (3622218066559).

100100110000001 is a wasteful number, since it uses less digits than its factorization.

100100110000001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39177.

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

Adding to 100100110000001 its reverse (100000011001001), we get a palindrome (200100121001002).

It can be divided in two parts, 1001001 and 10000001, that multiplied together give a palindrome (10010011001001).

The spelling of 100100110000001 in words is "one hundred trillion, one hundred billion, one hundred ten million, one", and thus it is an aban number.