11012122121121 has 24 divisors (see below), whose sum is σ = 17352807604704. Its totient is φ = 6673870042560.

The previous prime is 11012122121101. The next prime is 11012122121123. The reversal of 11012122121121 is 12112122121011.

It is a happy number.

11012122121121 is a `hidden beast` number, since 110 + 121 + 221 + 211 + 2 + 1 = 666.

It is not a de Polignac number, because 11012122121121 - 2¹¹ = 11012122119073 is a prime.

It is a super-2 number, since 2×11012122121121² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11012122121094 and 11012122121103.

It is not an unprimeable number, because it can be changed into a prime (11012122121123) 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 23 ways as a sum of consecutive naturals, for example, 3531250 + ... + 5873156.

It is an arithmetic number, because the mean of its divisors is an integer number (723033650196).

Almost surely, 2^{11012122121121} is an apocalyptic number.

11012122121121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11012122121121 is a deficient number, since it is larger than the sum of its proper divisors (6340685483583).

11012122121121 is a wasteful number, since it uses less digits than its factorization.

11012122121121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2389421 (or 2389418 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 11012122121121 its reverse (12112122121011), we get a palindrome (23124244242132).

The spelling of 11012122121121 in words is "eleven trillion, twelve billion, one hundred twenty-two million, one hundred twenty-one thousand, one hundred twenty-one".