11101112121109 has 2 divisors, whose sum is σ = 11101112121110. Its totient is φ = 11101112121108.

The previous prime is 11101112121091. The next prime is 11101112121131. The reversal of 11101112121109 is 90112121110111.

Together with previous prime (11101112121091) it forms an Ormiston pair, because they use the same digits, order apart.

It is an a-pointer prime, because the next prime (11101112121131) can be obtained adding 11101112121109 to its sum of digits (22).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10435128819025 + 665983302084 = 3230345^2 + 816078^2 .

It is a cyclic number.

It is not a de Polignac number, because 11101112121109 - 2²³ = 11101103732501 is a prime.

It is a super-2 number, since 2×11101112121109² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11101112121109.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11101112121139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5550556060554 + 5550556060555.

It is an arithmetic number, because the mean of its divisors is an integer number (5550556060555).

Almost surely, 2^{11101112121109} is an apocalyptic number.

It is an amenable number.

11101112121109 is a deficient number, since it is larger than the sum of its proper divisors (1).

11101112121109 is an equidigital number, since it uses as much as digits as its factorization.

11101112121109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 22.

The spelling of 11101112121109 in words is "eleven trillion, one hundred one billion, one hundred twelve million, one hundred twenty-one thousand, one hundred nine".