101111200011 has 24 divisors (see below), whose sum is σ = 147722973840. Its totient is φ = 66635433216.

The previous prime is 101111200009. The next prime is 101111200037. The reversal of 101111200011 is 110002111101.

It is not a de Polignac number, because 101111200011 - 2¹ = 101111200009 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 101111199966 and 101111200002.

It is not an unprimeable number, because it can be changed into a prime (101111200061) 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 23 ways as a sum of consecutive naturals, for example, 4584336 + ... + 4606338.

It is an arithmetic number, because the mean of its divisors is an integer number (6155123910).

Almost surely, 2^101111200011 is an apocalyptic number.

101111200011 is a deficient number, since it is larger than the sum of its proper divisors (46611773829).

101111200011 is a wasteful number, since it uses less digits than its factorization.

101111200011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27835 (or 27832 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 101111200011 its reverse (110002111101), we get a palindrome (211113311112).

The spelling of 101111200011 in words is "one hundred one billion, one hundred eleven million, two hundred thousand, eleven".