110001121100211 has 32 divisors (see below), whose sum is σ = 160073897472000. Its totient is φ = 66637240336800.

The previous prime is 110001121100147. The next prime is 110001121100231. The reversal of 110001121100211 is 112001121100011.

It is not a de Polignac number, because 110001121100211 - 2⁶ = 110001121100147 is a prime.

It is not an unprimeable number, because it can be changed into a prime (110001121100231) 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, 899647866 + ... + 899770128.

It is an arithmetic number, because the mean of its divisors is an integer number (5002309296000).

Almost surely, 2^{110001121100211} is an apocalyptic number.

110001121100211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

110001121100211 is a deficient number, since it is larger than the sum of its proper divisors (50072776371789).

110001121100211 is a wasteful number, since it uses less digits than its factorization.

110001121100211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134367.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 110001121100211 its reverse (112001121100011), we get a palindrome (222002242200222).

It can be divided in two parts, 1100011 and 21100211, that added together give a palindrome (22200222).

The spelling of 110001121100211 in words is "one hundred ten trillion, one billion, one hundred twenty-one million, one hundred thousand, two hundred eleven".