100100112122111 has 4 divisors (see below), whose sum is σ = 100317249025224. Its totient is φ = 99882975219000.

The previous prime is 100100112122099. The next prime is 100100112122113. The reversal of 100100112122111 is 111221211001001.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100100112122111 is a prime.

It is a super-4 number, since 4×100100112122111⁴ (a number of 57 digits) contains 4444 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100100112122113) 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 in 3 ways as a sum of consecutive naturals, for example, 108568450865 + ... + 108568451786.

It is an arithmetic number, because the mean of its divisors is an integer number (25079312256306).

Almost surely, 2^{100100112122111} is an apocalyptic number.

100100112122111 is a deficient number, since it is larger than the sum of its proper divisors (217136903113).

100100112122111 is an equidigital number, since it uses as much as digits as its factorization.

100100112122111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217136903112.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 100100112122111 its reverse (111221211001001), we get a palindrome (211321323123112).

It can be divided in two parts, 100100 and 112122111, that added together give a palindrome (112222211).

The spelling of 100100112122111 in words is "one hundred trillion, one hundred billion, one hundred twelve million, one hundred twenty-two thousand, one hundred eleven".