101112020011 has 16 divisors (see below), whose sum is σ = 108267144480. Its totient is φ = 94096304640.

The previous prime is 101112019993. The next prime is 101112020017. The reversal of 101112020011 is 110020211101.

It is a cyclic number.

It is not a de Polignac number, because 101112020011 - 2⁵ = 101112019979 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 101112020011.

It is not an unprimeable number, because it can be changed into a prime (101112020017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 534925 + ... + 698833.

It is an arithmetic number, because the mean of its divisors is an integer number (6766696530).

Almost surely, 2^101112020011 is an apocalyptic number.

101112020011 is a deficient number, since it is larger than the sum of its proper divisors (7155124469).

101112020011 is a wasteful number, since it uses less digits than its factorization.

101112020011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164334.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 101112020011 its reverse (110020211101), we get a palindrome (211132231112).

The spelling of 101112020011 in words is "one hundred one billion, one hundred twelve million, twenty thousand, eleven".