100111112102011 has 4 divisors (see below), whose sum is σ = 100111133992024. Its totient is φ = 100111090212000.

The previous prime is 100111112101967. The next prime is 100111112102021. The reversal of 100111112102011 is 110201211111001.

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 100111112102011 - 2²⁷ = 100110977884283 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100111112101982 and 100111112102000.

It is not an unprimeable number, because it can be changed into a prime (100111112102021) 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, 1182165 + ... + 14199286.

It is an arithmetic number, because the mean of its divisors is an integer number (25027783498006).

Almost surely, 2^{100111112102011} is an apocalyptic number.

100111112102011 is a deficient number, since it is larger than the sum of its proper divisors (21890013).

100111112102011 is an equidigital number, since it uses as much as digits as its factorization.

100111112102011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21890012.

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

Adding to 100111112102011 its reverse (110201211111001), we get a palindrome (210312323213012).

The spelling of 100111112102011 in words is "one hundred trillion, one hundred eleven billion, one hundred twelve million, one hundred two thousand, eleven".