11211012211121 has 8 divisors (see below), whose sum is σ = 11698504932480. Its totient is φ = 10723524273792.

The previous prime is 11211012211081. The next prime is 11211012211207. The reversal of 11211012211121 is 12111221011211.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-11211012211121 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 11211012211121.

It is not an unprimeable number, because it can be changed into a prime (11211012411121) 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 7 ways as a sum of consecutive naturals, for example, 4089836 + ... + 6256898.

It is an arithmetic number, because the mean of its divisors is an integer number (1462313116560).

Almost surely, 2^{11211012211121} is an apocalyptic number.

It is an amenable number.

11211012211121 is a deficient number, since it is larger than the sum of its proper divisors (487492721359).

11211012211121 is a wasteful number, since it uses less digits than its factorization.

11211012211121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2392015.

The product of its (nonzero) digits is 16, while the sum is 17.

Adding to 11211012211121 its reverse (12111221011211), we get a palindrome (23322233222332).

The spelling of 11211012211121 in words is "eleven trillion, two hundred eleven billion, twelve million, two hundred eleven thousand, one hundred twenty-one".