100112112011 has 4 divisors (see below), whose sum is σ = 100157557752. Its totient is φ = 100066666272.

The previous prime is 100112112007. The next prime is 100112112017. The reversal of 100112112011 is 110211211001.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 110211211001 = 47 ⋅2344919383.

It is a cyclic number.

It is not a de Polignac number, because 100112112011 - 2² = 100112112007 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100112111983 and 100112112001.

It is not an unprimeable number, because it can be changed into a prime (100112112017) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 22719566 + ... + 22723971.

It is an arithmetic number, because the mean of its divisors is an integer number (25039389438).

Almost surely, 2^100112112011 is an apocalyptic number.

100112112011 is a deficient number, since it is larger than the sum of its proper divisors (45445741).

100112112011 is an equidigital number, since it uses as much as digits as its factorization.

100112112011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45445740.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 100112112011 its reverse (110211211001), we get a palindrome (210323323012).

The spelling of 100112112011 in words is "one hundred billion, one hundred twelve million, one hundred twelve thousand, eleven".