101111111010109 has 2 divisors, whose sum is σ = 101111111010110. Its totient is φ = 101111111010108.

The previous prime is 101111111010097. The next prime is 101111111010181. The reversal of 101111111010109 is 901010111111101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 79772531813209 + 21338579196900 = 8931547^2 + 4619370^2 .

It is a cyclic number.

It is not a de Polignac number, because 101111111010109 - 2¹³ = 101111111001917 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101111111010709) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50555555505054 + 50555555505055.

It is an arithmetic number, because the mean of its divisors is an integer number (50555555505055).

Almost surely, 2^{101111111010109} is an apocalyptic number.

It is an amenable number.

101111111010109 is a deficient number, since it is larger than the sum of its proper divisors (1).

101111111010109 is an equidigital number, since it uses as much as digits as its factorization.

101111111010109 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9, while the sum is 19.

The spelling of 101111111010109 in words is "one hundred one trillion, one hundred eleven billion, one hundred eleven million, ten thousand, one hundred nine".