10001111011121 has 32 divisors (see below), whose sum is σ = 11393952272640. Its totient is φ = 8727247919104.

The previous prime is 10001111011097. The next prime is 10001111011159. The reversal of 10001111011121 is 12111011110001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 10001111011121 - 2²⁶ = 10001043902257 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10001111013121) 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 31 ways as a sum of consecutive naturals, for example, 1187276 + ... + 4627293.

It is an arithmetic number, because the mean of its divisors is an integer number (356061008520).

Almost surely, 2^{10001111011121} is an apocalyptic number.

It is an amenable number.

10001111011121 is a deficient number, since it is larger than the sum of its proper divisors (1392841261519).

10001111011121 is a wasteful number, since it uses less digits than its factorization.

10001111011121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5814745.

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 10001111011121 its reverse (12111011110001), we get a palindrome (22112122121122).

The spelling of 10001111011121 in words is "ten trillion, one billion, one hundred eleven million, eleven thousand, one hundred twenty-one".