11001111122101 has 8 divisors (see below), whose sum is σ = 11648268687384. Its totient is φ = 10353957265920.

The previous prime is 11001111122081. The next prime is 11001111122143. The reversal of 11001111122101 is 10122111110011.

It can be written as a sum of positive squares in 4 ways, for example, as 3433605294001 + 7567505828100 = 1852999^2 + 2750910^2 .

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

It is not a de Polignac number, because 11001111122101 - 2²⁷ = 11000976904373 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11001111122161) 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, 7229011 + ... + 8617471.

It is an arithmetic number, because the mean of its divisors is an integer number (1456033585923).

Almost surely, 2^{11001111122101} is an apocalyptic number.

It is an amenable number.

11001111122101 is a deficient number, since it is larger than the sum of its proper divisors (647157565283).

11001111122101 is a wasteful number, since it uses less digits than its factorization.

11001111122101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1854551.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 11001111122101 its reverse (10122111110011), we get a palindrome (21123222232112).

The spelling of 11001111122101 in words is "eleven trillion, one billion, one hundred eleven million, one hundred twenty-two thousand, one hundred one".