100002112311 has 16 divisors (see below), whose sum is σ = 140512147200. Its totient is φ = 63087991488.

The previous prime is 100002112303. The next prime is 100002112339. The reversal of 100002112311 is 113211200001.

It is not a de Polignac number, because 100002112311 - 2³ = 100002112303 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100002112361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 938406 + ... + 1039523.

It is an arithmetic number, because the mean of its divisors is an integer number (8782009200).

Almost surely, 2^100002112311 is an apocalyptic number.

100002112311 is a deficient number, since it is larger than the sum of its proper divisors (40510034889).

100002112311 is a wasteful number, since it uses less digits than its factorization.

100002112311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1978838.

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 100002112311 its reverse (113211200001), we get a palindrome (213213312312).

The spelling of 100002112311 in words is "one hundred billion, two million, one hundred twelve thousand, three hundred eleven".