11012000111001 has 32 divisors (see below), whose sum is σ = 16712395136640. Its totient is φ = 7162097932800.

The previous prime is 11012000110981. The next prime is 11012000111027. The reversal of 11012000111001 is 10011100021011.

It is not a de Polignac number, because 11012000111001 - 2¹⁴ = 11012000094617 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (11012000111081) 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 31 ways as a sum of consecutive naturals, for example, 55606506 + ... + 55804188.

It is an arithmetic number, because the mean of its divisors is an integer number (522262348020).

Almost surely, 2^{11012000111001} is an apocalyptic number.

It is an amenable number.

11012000111001 is a deficient number, since it is larger than the sum of its proper divisors (5700395025639).

11012000111001 is a wasteful number, since it uses less digits than its factorization.

11012000111001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248054 (or 248048 counting only the distinct ones).

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

Adding to 11012000111001 its reverse (10011100021011), we get a palindrome (21023100132012).

The spelling of 11012000111001 in words is "eleven trillion, twelve billion, one hundred eleven thousand, one".