11011022112121 has 8 divisors (see below), whose sum is σ = 11030955239304. Its totient is φ = 10991089576320.

The previous prime is 11011022112091. The next prime is 11011022112131. The reversal of 11011022112121 is 12121122011011.

It can be written as a sum of positive squares in 4 ways, for example, as 5930145465721 + 5080876646400 = 2435189^2 + 2254080^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 11011022112121 - 2¹¹ = 11011022110073 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11011022112095 and 11011022112104.

It is not an unprimeable number, because it can be changed into a prime (11011022112131) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57141691 + ... + 57334063.

It is an arithmetic number, because the mean of its divisors is an integer number (1378869404913).

Almost surely, 2^{11011022112121} is an apocalyptic number.

It is an amenable number.

11011022112121 is a deficient number, since it is larger than the sum of its proper divisors (19933127183).

11011022112121 is a wasteful number, since it uses less digits than its factorization.

11011022112121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295691.

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

Adding to 11011022112121 its reverse (12121122011011), we get a palindrome (23132144123132).

The spelling of 11011022112121 in words is "eleven trillion, eleven billion, twenty-two million, one hundred twelve thousand, one hundred twenty-one".