11110120211201 has 16 divisors (see below), whose sum is σ = 12134358835200. Its totient is φ = 10088259289680.

The previous prime is 11110120211189. The next prime is 11110120211321. The reversal of 11110120211201 is 10211202101111.

It is a de Polignac number, because none of the positive numbers 2^k-11110120211201 is a prime.

It is a super-2 number, since 2×11110120211201² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11110120219201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34859570 + ... + 35176836.

It is an arithmetic number, because the mean of its divisors is an integer number (758397427200).

Almost surely, 2^{11110120211201} is an apocalyptic number.

11110120211201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11110120211201 is a deficient number, since it is larger than the sum of its proper divisors (1024238623999).

11110120211201 is a wasteful number, since it uses less digits than its factorization.

11110120211201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321004.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 11110120211201 its reverse (10211202101111), we get a palindrome (21321322312312).

It can be divided in two parts, 111101 and 20211201, that added together give a palindrome (20322302).

The spelling of 11110120211201 in words is "eleven trillion, one hundred ten billion, one hundred twenty million, two hundred eleven thousand, two hundred one".