101111101109 has 2 divisors, whose sum is σ = 101111101110. Its totient is φ = 101111101108.

The previous prime is 101111101103. The next prime is 101111101123. The reversal of 101111101109 is 901101111101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99301874884 + 1809226225 = 315122^2 + 42535^2 .

It is a cyclic number.

It is not a de Polignac number, because 101111101109 - 2¹⁶ = 101111035573 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101111101103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50555550554 + 50555550555.

It is an arithmetic number, because the mean of its divisors is an integer number (50555550555).

Almost surely, 2^101111101109 is an apocalyptic number.

It is an amenable number.

101111101109 is a deficient number, since it is larger than the sum of its proper divisors (1).

101111101109 is an equidigital number, since it uses as much as digits as its factorization.

101111101109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9, while the sum is 17.

The spelling of 101111101109 in words is "one hundred one billion, one hundred eleven million, one hundred one thousand, one hundred nine".