101111120011 has 16 divisors (see below), whose sum is σ = 111535648128. Its totient is φ = 91653884520.

The previous prime is 101111119999. The next prime is 101111120017. The reversal of 101111120011 is 110021111101.

It is not a de Polignac number, because 101111120011 - 2⁵ = 101111119979 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101111120011.

It is not an unprimeable number, because it can be changed into a prime (101111120017) 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, 352396 + ... + 571318.

It is an arithmetic number, because the mean of its divisors is an integer number (6970978008).

Almost surely, 2^101111120011 is an apocalyptic number.

101111120011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101111120011 is a deficient number, since it is larger than the sum of its proper divisors (10424528117).

101111120011 is an equidigital number, since it uses as much as digits as its factorization.

101111120011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219303 (or 219281 counting only the distinct ones).

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

Adding to 101111120011 its reverse (110021111101), we get a palindrome (211132231112).

It can be divided in two parts, 101111 and 120011, that added together give a palindrome (221122).

The spelling of 101111120011 in words is "one hundred one billion, one hundred eleven million, one hundred twenty thousand, eleven".