101112011 has 32 divisors (see below), whose sum is σ = 137507328. Its totient is φ = 71792640.

The previous prime is 101111917. The next prime is 101112013. The reversal of 101112011 is 110211101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 101112011 - 2¹⁰ = 101110987 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101112011.

It is not an unprimeable number, because it can be changed into a prime (101112013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82475 + ... + 83691.

It is an arithmetic number, because the mean of its divisors is an integer number (4297104).

Almost surely, 2^101112011 is an apocalyptic number.

101112011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101112011 is a deficient number, since it is larger than the sum of its proper divisors (36395317).

101112011 is a wasteful number, since it uses less digits than its factorization.

101112011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1331.

The product of its (nonzero) digits is 2, while the sum is 8.

The square root of 101112011 is about 10055.4468324386. The cubic root of 101112011 is about 465.8730443697.

Adding to 101112011 its reverse (110211101), we get a palindrome (211323112).

The spelling of 101112011 in words is "one hundred one million, one hundred twelve thousand, eleven".