1001101106129 has 2 divisors, whose sum is σ = 1001101106130. Its totient is φ = 1001101106128.

The previous prime is 1001101106099. The next prime is 1001101106141. The reversal of 1001101106129 is 9216011011001.

1001101106129 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 681054067600 + 320047038529 = 825260^2 + 565727^2 .

It is an emirp because it is prime and its reverse (9216011011001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1001101106129 - 2²⁰ = 1001100057553 is a prime.

It is not a weakly prime, because it can be changed into another prime (1001101106149) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500550553064 + 500550553065.

It is an arithmetic number, because the mean of its divisors is an integer number (500550553065).

Almost surely, 2^{1001101106129} is an apocalyptic number.

It is an amenable number.

1001101106129 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001101106129 is an equidigital number, since it uses as much as digits as its factorization.

1001101106129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108, while the sum is 23.

The spelling of 1001101106129 in words is "one trillion, one billion, one hundred one million, one hundred six thousand, one hundred twenty-nine".