101011102101109 has 2 divisors, whose sum is σ = 101011102101110. Its totient is φ = 101011102101108.

The previous prime is 101011102101037. The next prime is 101011102101131. The reversal of 101011102101109 is 901101201110101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 54600646100625 + 46410456000484 = 7389225^2 + 6812522^2 .

It is a cyclic number.

It is not a de Polignac number, because 101011102101109 - 2¹⁹ = 101011101576821 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101011102101139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50505551050554 + 50505551050555.

It is an arithmetic number, because the mean of its divisors is an integer number (50505551050555).

Almost surely, 2^{101011102101109} is an apocalyptic number.

It is an amenable number.

101011102101109 is a deficient number, since it is larger than the sum of its proper divisors (1).

101011102101109 is an equidigital number, since it uses as much as digits as its factorization.

101011102101109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 19.

The spelling of 101011102101109 in words is "one hundred one trillion, eleven billion, one hundred two million, one hundred one thousand, one hundred nine".