11101221112201 has 64 divisors (see below), whose sum is σ = 13612824852480. Its totient is φ = 8933046819840.

The previous prime is 11101221112129. The next prime is 11101221112207. The reversal of 11101221112201 is 10221112210111.

It is not a de Polignac number, because 11101221112201 - 2¹³ = 11101221104009 is a prime.

It is a super-2 number, since 2×11101221112201² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11101221112207) 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 63 ways as a sum of consecutive naturals, for example, 57737041 + ... + 57928993.

It is an arithmetic number, because the mean of its divisors is an integer number (212700388320).

Almost surely, 2^{11101221112201} is an apocalyptic number.

11101221112201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11101221112201 is a deficient number, since it is larger than the sum of its proper divisors (2511603740279).

11101221112201 is a wasteful number, since it uses less digits than its factorization.

11101221112201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192286.

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

Adding to 11101221112201 its reverse (10221112210111), we get a palindrome (21322333322312).

The spelling of 11101221112201 in words is "eleven trillion, one hundred one billion, two hundred twenty-one million, one hundred twelve thousand, two hundred one".