100110100110011 has 16 divisors (see below), whose sum is σ = 106341251111040. Its totient is φ = 93977320469760.

The previous prime is 100110100109983. The next prime is 100110100110037. The reversal of 100110100110011 is 110011001011001.

It is a cyclic number.

It is not a de Polignac number, because 100110100110011 - 2³⁰ = 100109026368187 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100110100110311) 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, 28206785 + ... + 31556978.

It is an arithmetic number, because the mean of its divisors is an integer number (6646328194440).

Almost surely, 2^{100110100110011} is an apocalyptic number.

100110100110011 is a deficient number, since it is larger than the sum of its proper divisors (6231151001029).

100110100110011 is a wasteful number, since it uses less digits than its factorization.

100110100110011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59764586.

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

Adding to 100110100110011 its reverse (110011001011001), we get a palindrome (210121101121012).

The spelling of 100110100110011 in words is "one hundred trillion, one hundred ten billion, one hundred million, one hundred ten thousand, eleven".