101111101000011 has 20 divisors (see below), whose sum is σ = 151044760066200. Its totient is φ = 67406396014656.

The previous prime is 101111100999977. The next prime is 101111101000033. The reversal of 101111101000011 is 110000101111101.

It is not a de Polignac number, because 101111101000011 - 2⁹ = 101111100999499 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 = 101111100999957 and 101111101000002.

It is not an unprimeable number, because it can be changed into a prime (101111101008011) 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 19 ways as a sum of consecutive naturals, for example, 3814206 + ... + 14723123.

It is an arithmetic number, because the mean of its divisors is an integer number (7552238003310).

Almost surely, 2^{101111101000011} is an apocalyptic number.

101111101000011 is a deficient number, since it is larger than the sum of its proper divisors (49933659066189).

101111101000011 is an equidigital number, since it uses as much as digits as its factorization.

101111101000011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18604680 (or 18604671 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 101111101000011 its reverse (110000101111101), we get a palindrome (211111202111112).

The spelling of 101111101000011 in words is "one hundred one trillion, one hundred eleven billion, one hundred one million, eleven", and thus it is an aban number.