11210100101211 has 16 divisors (see below), whose sum is σ = 16467041737728. Its totient is φ = 6726732732000.

The previous prime is 11210100101197. The next prime is 11210100101219.

11210100101211 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 11210100101211 - 2¹⁸ = 11210099839067 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11210100101219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1681679851 + ... + 1681686516.

It is an arithmetic number, because the mean of its divisors is an integer number (1029190108608).

Almost surely, 2^{11210100101211} is an apocalyptic number.

11210100101211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11210100101211 is a deficient number, since it is larger than the sum of its proper divisors (5256941636517).

11210100101211 is a wasteful number, since it uses less digits than its factorization.

11210100101211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3363366482.

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

It can be divided in two parts, 11210100 and 101211, that added together give a palindrome (11311311).

The spelling of 11210100101211 in words is "eleven trillion, two hundred ten billion, one hundred million, one hundred one thousand, two hundred eleven".