11102122111201 has 128 divisors (see below), whose sum is σ = 13463448514560. Its totient is φ = 9046162944000.

The previous prime is 11102122111187. The next prime is 11102122111217. The reversal of 11102122111201 is 10211122120111.

It is a cyclic number.

It is not a de Polignac number, because 11102122111201 - 2⁵ = 11102122111169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11102129111201) 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 127 ways as a sum of consecutive naturals, for example, 9077777076 + ... + 9077778298.

It is an arithmetic number, because the mean of its divisors is an integer number (105183191520).

Almost surely, 2^{11102122111201} is an apocalyptic number.

11102122111201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11102122111201 is a deficient number, since it is larger than the sum of its proper divisors (2361326403359).

11102122111201 is a wasteful number, since it uses less digits than its factorization.

11102122111201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1607.

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 11102122111201 its reverse (10211122120111), we get a palindrome (21313244231312).

It can be divided in two parts, 111021 and 22111201, that added together give a palindrome (22222222).

The spelling of 11102122111201 in words is "eleven trillion, one hundred two billion, one hundred twenty-two million, one hundred eleven thousand, two hundred one".