11000111100201 has 12 divisors (see below), whose sum is σ = 16436947621380. Its totient is φ = 7080531282720.

The previous prime is 11000111100179. The next prime is 11000111100211. The reversal of 11000111100201 is 10200111100011.

It can be written as a sum of positive squares in 2 ways, for example, as 4871025561600 + 6129085538601 = 2207040^2 + 2475699^2 .

It is not a de Polignac number, because 11000111100201 - 2⁶ = 11000111100137 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 (11000111100211) 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 11 ways as a sum of consecutive naturals, for example, 21073009510 + ... + 21073010031.

It is an arithmetic number, because the mean of its divisors is an integer number (1369745635115).

Almost surely, 2^{11000111100201} is an apocalyptic number.

It is an amenable number.

11000111100201 is a deficient number, since it is larger than the sum of its proper divisors (5436836521179).

11000111100201 is a wasteful number, since it uses less digits than its factorization.

11000111100201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42146019576 (or 42146019573 counting only the distinct ones).

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

Adding to 11000111100201 its reverse (10200111100011), we get a palindrome (21200222200212).

The spelling of 11000111100201 in words is "eleven trillion, one hundred eleven million, one hundred thousand, two hundred one".