100110012112111 has 4 divisors (see below), whose sum is σ = 100110437965224. Its totient is φ = 100109586259000.

The previous prime is 100110012112057. The next prime is 100110012112193. The reversal of 100110012112111 is 111211210011001.

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

It is a cyclic number.

It is not a de Polignac number, because 100110012112111 - 2¹⁷ = 100110011981039 is a prime.

It is a super-2 number, since 2×100110012112111² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100110012112091 and 100110012112100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100110012112211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 212573740 + ... + 213044161.

It is an arithmetic number, because the mean of its divisors is an integer number (25027609491306).

Almost surely, 2^{100110012112111} is an apocalyptic number.

100110012112111 is a deficient number, since it is larger than the sum of its proper divisors (425853113).

100110012112111 is an equidigital number, since it uses as much as digits as its factorization.

100110012112111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425853112.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 100110012112111 its reverse (111211210011001), we get a palindrome (211321222123112).

The spelling of 100110012112111 in words is "one hundred trillion, one hundred ten billion, twelve million, one hundred twelve thousand, one hundred eleven".