101112102011 has 4 divisors (see below), whose sum is σ = 101112804912. Its totient is φ = 101111399112.

The previous prime is 101112101971. The next prime is 101112102059. The reversal of 101112102011 is 110201211101.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is not a de Polignac number, because 101112102011 - 2³⁴ = 83932232827 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101112101983 and 101112102001.

It is not an unprimeable number, because it can be changed into a prime (101112102811) 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 3 ways as a sum of consecutive naturals, for example, 48800 + ... + 452333.

It is an arithmetic number, because the mean of its divisors is an integer number (25278201228).

Almost surely, 2^101112102011 is an apocalyptic number.

101112102011 is a deficient number, since it is larger than the sum of its proper divisors (702901).

101112102011 is an equidigital number, since it uses as much as digits as its factorization.

101112102011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702900.

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

Adding to 101112102011 its reverse (110201211101), we get a palindrome (211313313112).

The spelling of 101112102011 in words is "one hundred one billion, one hundred twelve million, one hundred two thousand, eleven".