100110100010001 has 8 divisors (see below), whose sum is σ = 141331905896544. Its totient is φ = 62814180398400.

The previous prime is 100110100009891. The next prime is 100110100010003. The reversal of 100110100010001 is 100010001011001.

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

It is not a de Polignac number, because 100110100010001 - 2²⁵ = 100110066455569 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100110100010003) 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, 981471568675 + ... + 981471568776.

It is an arithmetic number, because the mean of its divisors is an integer number (17666488237068).

Almost surely, 2^{100110100010001} is an apocalyptic number.

It is an amenable number.

100110100010001 is a deficient number, since it is larger than the sum of its proper divisors (41221805886543).

100110100010001 is a wasteful number, since it uses less digits than its factorization.

100110100010001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1962943137471.

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

Adding to 100110100010001 its reverse (100010001011001), we get a palindrome (200120101021002).

It can be divided in two parts, 1001101000 and 10001, that added together give a palindrome (1001111001).

The spelling of 100110100010001 in words is "one hundred trillion, one hundred ten billion, one hundred million, ten thousand, one".