11210111101211 has 48 divisors (see below), whose sum is σ = 12467952000000. Its totient is φ = 10071107544960.

The previous prime is 11210111101199. The next prime is 11210111101261.

11210111101211 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2^k-11210111101211 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11210111101261) 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 47 ways as a sum of consecutive naturals, for example, 2411292815 + ... + 2411297463.

It is an arithmetic number, because the mean of its divisors is an integer number (259749000000).

Almost surely, 2^{11210111101211} is an apocalyptic number.

11210111101211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11210111101211 is a deficient number, since it is larger than the sum of its proper divisors (1257840898789).

11210111101211 is a wasteful number, since it uses less digits than its factorization.

11210111101211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5528 (or 5517 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 14.

It can be divided in two parts, 1121011 and 1101211, that multiplied together give a palindrome (1234469644321).

The spelling of 11210111101211 in words is "eleven trillion, two hundred ten billion, one hundred eleven million, one hundred one thousand, two hundred eleven".