101101111201009 has 2 divisors, whose sum is σ = 101101111201010. Its totient is φ = 101101111201008.

The previous prime is 101101111200961. The next prime is 101101111201019. The reversal of 101101111201009 is 900102111101101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100217558200384 + 883553000625 = 10010872^2 + 939975^2 .

It is a cyclic number.

It is not a de Polignac number, because 101101111201009 - 2¹³ = 101101111192817 is a prime.

It is not a weakly prime, because it can be changed into another prime (101101111201019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50550555600504 + 50550555600505.

It is an arithmetic number, because the mean of its divisors is an integer number (50550555600505).

Almost surely, 2^{101101111201009} is an apocalyptic number.

It is an amenable number.

101101111201009 is a deficient number, since it is larger than the sum of its proper divisors (1).

101101111201009 is an equidigital number, since it uses as much as digits as its factorization.

101101111201009 is an evil number, because the sum of its binary digits is even.

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

The spelling of 101101111201009 in words is "one hundred one trillion, one hundred one billion, one hundred eleven million, two hundred one thousand, nine".