11102111010211 has 32 divisors (see below), whose sum is σ = 12403693431360. Its totient is φ = 9870996787200.

The previous prime is 11102111010191. The next prime is 11102111010227. The reversal of 11102111010211 is 11201011120111.

It is not a de Polignac number, because 11102111010211 - 2⁹ = 11102111009699 is a prime.

It is a super-3 number, since 3×11102111010211³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11102111010191 and 11102111010200.

It is not an unprimeable number, because it can be changed into a prime (11102111010281) 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 31 ways as a sum of consecutive naturals, for example, 65787601 + ... + 65956141.

It is an arithmetic number, because the mean of its divisors is an integer number (387615419730).

Almost surely, 2^{11102111010211} is an apocalyptic number.

11102111010211 is a deficient number, since it is larger than the sum of its proper divisors (1301582421149).

11102111010211 is a wasteful number, since it uses less digits than its factorization.

11102111010211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170167.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 11102111010211 its reverse (11201011120111), we get a palindrome (22303122130322).

The spelling of 11102111010211 in words is "eleven trillion, one hundred two billion, one hundred eleven million, ten thousand, two hundred eleven".