100110000100001 has 4 divisors (see below), whose sum is σ = 100122572002992. Its totient is φ = 100097428197012.

The previous prime is 100110000099973. The next prime is 100110000100009. The reversal of 100110000100001 is 100001000011001.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 100110000100001 - 2³⁸ = 99835122193057 is a prime.

It is a Duffinian number.

100110000100001 is a modest number, since divided by 100001 gives 10011 as remainder.

It is not an unprimeable number, because it can be changed into a prime (100110000100009) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6285939551 + ... + 6285955476.

It is an arithmetic number, because the mean of its divisors is an integer number (25030643000748).

Almost surely, 2^{100110000100001} is an apocalyptic number.

It is an amenable number.

100110000100001 is a deficient number, since it is larger than the sum of its proper divisors (12571902991).

100110000100001 is an equidigital number, since it uses as much as digits as its factorization.

100110000100001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12571902990.

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

Adding to 100110000100001 its reverse (100001000011001), we get a palindrome (200111000111002).

It can be divided in two parts, 1001 and 10000100001, that multiplied together give a palindrome (10010100101001).

The spelling of 100110000100001 in words is "one hundred trillion, one hundred ten billion, one hundred thousand, one".