11101109838857 has 2 divisors, whose sum is σ = 11101109838858. Its totient is φ = 11101109838856.

The previous prime is 11101109838821. The next prime is 11101109838859. The reversal of 11101109838857 is 75883890110111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11095687578361 + 5422260496 = 3331019^2 + 73636^2 .

It is a cyclic number.

It is not a de Polignac number, because 11101109838857 - 2²² = 11101105644553 is a prime.

Together with 11101109838859, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 11101109838799 and 11101109838808.

It is not a weakly prime, because it can be changed into another prime (11101109838859) 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 as a sum of consecutive naturals, namely, 5550554919428 + 5550554919429.

It is an arithmetic number, because the mean of its divisors is an integer number (5550554919429).

Almost surely, 2^{11101109838857} is an apocalyptic number.

It is an amenable number.

11101109838857 is a deficient number, since it is larger than the sum of its proper divisors (1).

11101109838857 is an equidigital number, since it uses as much as digits as its factorization.

11101109838857 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 483840, while the sum is 53.

Adding to 11101109838857 its reverse (75883890110111), we get a palindrome (86984999948968).

The spelling of 11101109838857 in words is "eleven trillion, one hundred one billion, one hundred nine million, eight hundred thirty-eight thousand, eight hundred fifty-seven".