11211020111121 has 16 divisors (see below), whose sum is σ = 16001456006400. Its totient is φ = 6960633358608.

The previous prime is 11211020111101. The next prime is 11211020111191. The reversal of 11211020111121 is 12111102011211.

It is not a de Polignac number, because 11211020111121 - 2⁵ = 11211020111089 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 11211020111121.

It is not an unprimeable number, because it can be changed into a prime (11211020111101) 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 15 ways as a sum of consecutive naturals, for example, 1666814971 + ... + 1666821696.

It is an arithmetic number, because the mean of its divisors is an integer number (1000091000400).

Almost surely, 2^{11211020111121} is an apocalyptic number.

It is an amenable number.

11211020111121 is a deficient number, since it is larger than the sum of its proper divisors (4790435895279).

11211020111121 is a wasteful number, since it uses less digits than its factorization.

11211020111121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3333636748.

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 11211020111121 its reverse (12111102011211), we get a palindrome (23322122122332).

The spelling of 11211020111121 in words is "eleven trillion, two hundred eleven billion, twenty million, one hundred eleven thousand, one hundred twenty-one".