10111122211121 has 8 divisors (see below), whose sum is σ = 10112761612800. Its totient is φ = 10109482956640.

The previous prime is 10111122211087. The next prime is 10111122211159. The reversal of 10111122211121 is 12111222111101.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10111122211121 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10111122211121.

It is not an unprimeable number, because it can be changed into a prime (10111122211721) 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, 287958356 + ... + 287993466.

It is an arithmetic number, because the mean of its divisors is an integer number (1264095201600).

Almost surely, 2^{10111122211121} is an apocalyptic number.

It is an amenable number.

10111122211121 is a deficient number, since it is larger than the sum of its proper divisors (1639401679).

10111122211121 is a wasteful number, since it uses less digits than its factorization.

10111122211121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73599.

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

Adding to 10111122211121 its reverse (12111222111101), we get a palindrome (22222344322222).

The spelling of 10111122211121 in words is "ten trillion, one hundred eleven billion, one hundred twenty-two million, two hundred eleven thousand, one hundred twenty-one".