11101120010211 has 64 divisors (see below), whose sum is σ = 18594274148352. Its totient is φ = 5722995600000.

The previous prime is 11101120010177. The next prime is 11101120010213. The reversal of 11101120010211 is 11201002110111.

It is not a de Polignac number, because 11101120010211 - 2¹³ = 11101120002019 is a prime.

It is a super-2 number, since 2×11101120010211² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11101120010213) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35457646 + ... + 35769356.

It is an arithmetic number, because the mean of its divisors is an integer number (290535533568).

Almost surely, 2^{11101120010211} is an apocalyptic number.

11101120010211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11101120010211 is a deficient number, since it is larger than the sum of its proper divisors (7493154138141).

11101120010211 is a wasteful number, since it uses less digits than its factorization.

11101120010211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312904.

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

Adding to 11101120010211 its reverse (11201002110111), we get a palindrome (22302122120322).

The spelling of 11101120010211 in words is "eleven trillion, one hundred one billion, one hundred twenty million, ten thousand, two hundred eleven".