11212121021101 has 288 divisors, whose sum is σ = 16688603111040. Its totient is φ = 7400777932800.

The previous prime is 11212121021081. The next prime is 11212121021107. The reversal of 11212121021101 is 10112012121211.

It is not a de Polignac number, because 11212121021101 - 2⁹ = 11212121020589 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11212121021107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 17170169691 + ... + 17170170343.

It is an arithmetic number, because the mean of its divisors is an integer number (57946538580).

Almost surely, 2^{11212121021101} is an apocalyptic number.

11212121021101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11212121021101 is a deficient number, since it is larger than the sum of its proper divisors (5476482089939).

11212121021101 is a wasteful number, since it uses less digits than its factorization.

11212121021101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 925 (or 901 counting only the distinct ones).

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

Adding to 11212121021101 its reverse (10112012121211), we get a palindrome (21324133142312).

The spelling of 11212121021101 in words is "eleven trillion, two hundred twelve billion, one hundred twenty-one million, twenty-one thousand, one hundred one".