100101100011112 has 8 divisors (see below), whose sum is σ = 187689562520850. Its totient is φ = 50050550005552.

The previous prime is 100101100011109. The next prime is 100101100011113. The reversal of 100101100011112 is 211110001101001.

It can be written as a sum of positive squares in only one way, i.e., 99308918128996 + 792181882116 = 9965386^2 + 890046^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is not an unprimeable number, because it can be changed into a prime (100101100011113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6256318750687 + ... + 6256318750702.

Almost surely, 2^{100101100011112} is an apocalyptic number.

It is an amenable number.

100101100011112 is a deficient number, since it is larger than the sum of its proper divisors (87588462509738).

100101100011112 is a wasteful number, since it uses less digits than its factorization.

100101100011112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12512637501395 (or 12512637501391 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 100101100011112 its reverse (211110001101001), we get a palindrome (311211101112113).

The spelling of 100101100011112 in words is "one hundred trillion, one hundred one billion, one hundred million, eleven thousand, one hundred twelve".