100110100110101 has 16 divisors (see below), whose sum is σ = 102656856825600. Its totient is φ = 97604114572800.

The previous prime is 100110100110067. The next prime is 100110100110133. The reversal of 100110100110101 is 101011001011001.

It is a cyclic number.

It is not a de Polignac number, because 100110100110101 - 2⁶ = 100110100110037 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100110100110191) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23724881 + ... + 27624086.

It is an arithmetic number, because the mean of its divisors is an integer number (6416053551600).

Almost surely, 2^{100110100110101} is an apocalyptic number.

It is an amenable number.

100110100110101 is a deficient number, since it is larger than the sum of its proper divisors (2546756715499).

100110100110101 is a wasteful number, since it uses less digits than its factorization.

100110100110101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51349364.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 100110100110101 its reverse (101011001011001), we get a palindrome (201121101121102).

The spelling of 100110100110101 in words is "one hundred trillion, one hundred ten billion, one hundred million, one hundred ten thousand, one hundred one".