11121201121121 has 64 divisors (see below), whose sum is σ = 14329786318848. Its totient is φ = 8388941603328.

The previous prime is 11121201121087. The next prime is 11121201121127. The reversal of 11121201121121 is 12112110212111.

11121201121121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11121201121121 - 2⁶ = 11121201121057 is a prime.

It is a super-2 number, since 2×11121201121121² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11121201121121.

It is not an unprimeable number, because it can be changed into a prime (11121201121127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 915846776 + ... + 915858918.

It is an arithmetic number, because the mean of its divisors is an integer number (223902911232).

Almost surely, 2^{11121201121121} is an apocalyptic number.

It is an amenable number.

11121201121121 is a deficient number, since it is larger than the sum of its proper divisors (3208585197727).

11121201121121 is a wasteful number, since it uses less digits than its factorization.

11121201121121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13590.

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

Adding to 11121201121121 its reverse (12112110212111), we get a palindrome (23233311333232).

The spelling of 11121201121121 in words is "eleven trillion, one hundred twenty-one billion, two hundred one million, one hundred twenty-one thousand, one hundred twenty-one".