101112312011 has 4 divisors (see below), whose sum is σ = 101123081472. Its totient is φ = 101101542552.

The previous prime is 101112311983. The next prime is 101112312019. The reversal of 101112312011 is 110213211101.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 110213211101 = 7 ⋅15744744443.

It is a cyclic number.

It is not a de Polignac number, because 101112312011 - 2¹⁸ = 101112049867 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101112312019) 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, 5370635 + ... + 5389428.

It is an arithmetic number, because the mean of its divisors is an integer number (25280770368).

Almost surely, 2^101112312011 is an apocalyptic number.

101112312011 is a deficient number, since it is larger than the sum of its proper divisors (10769461).

101112312011 is an equidigital number, since it uses as much as digits as its factorization.

101112312011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10769460.

The product of its (nonzero) digits is 12, while the sum is 14.

Adding to 101112312011 its reverse (110213211101), we get a palindrome (211325523112).

The spelling of 101112312011 in words is "one hundred one billion, one hundred twelve million, three hundred twelve thousand, eleven".