101010112111 has 16 divisors (see below), whose sum is σ = 103976724096. Its totient is φ = 98068320000.

The previous prime is 101010112013. The next prime is 101010112139. The reversal of 101010112111 is 111211010101.

It is a cyclic number.

It is not a de Polignac number, because 101010112111 - 2¹⁹ = 101009587823 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101010112711) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10450621 + ... + 10460281.

It is an arithmetic number, because the mean of its divisors is an integer number (6498545256).

Almost surely, 2^101010112111 is an apocalyptic number.

101010112111 is a deficient number, since it is larger than the sum of its proper divisors (2966611985).

101010112111 is an equidigital number, since it uses as much as digits as its factorization.

101010112111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10914.

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 101010112111 its reverse (111211010101), we get a palindrome (212221122212).

The spelling of 101010112111 in words is "one hundred one billion, ten million, one hundred twelve thousand, one hundred eleven".