11122001102121 has 144 divisors (see below), whose sum is σ = 19691247925440. Its totient is φ = 5549690764800.

The previous prime is 11122001102071. The next prime is 11122001102123. The reversal of 11122001102121 is 12120110022111.

It is a happy number.

It is not a de Polignac number, because 11122001102121 - 2¹⁵ = 11122001069353 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 11122001102121.

It is not an unprimeable number, because it can be changed into a prime (11122001102123) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 330867111 + ... + 330900723.

It is an arithmetic number, because the mean of its divisors is an integer number (136744777260).

Almost surely, 2^{11122001102121} is an apocalyptic number.

It is an amenable number.

11122001102121 is a deficient number, since it is larger than the sum of its proper divisors (8569246823319).

11122001102121 is a wasteful number, since it uses less digits than its factorization.

11122001102121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34376 (or 34356 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 11122001102121 its reverse (12120110022111), we get a palindrome (23242111124232).

The spelling of 11122001102121 in words is "eleven trillion, one hundred twenty-two billion, one million, one hundred two thousand, one hundred twenty-one".