1001010106105 has 8 divisors (see below), whose sum is σ = 1206196411464. Its totient is φ = 797485228800.

The previous prime is 1001010106097. The next prime is 1001010106127. The reversal of 1001010106105 is 5016010101001.

1001010106105 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 25456840704 + 975553265401 = 159552^2 + 987701^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 1001010106105 - 2³ = 1001010106097 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 415355686 + ... + 415358095.

It is an arithmetic number, because the mean of its divisors is an integer number (150774551433).

Almost surely, 2^{1001010106105} is an apocalyptic number.

It is an amenable number.

1001010106105 is a deficient number, since it is larger than the sum of its proper divisors (205186305359).

1001010106105 is an equidigital number, since it uses as much as digits as its factorization.

1001010106105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 830714027.

The product of its (nonzero) digits is 30, while the sum is 16.

Adding to 1001010106105 its reverse (5016010101001), we get a palindrome (6017020207106).

The spelling of 1001010106105 in words is "one trillion, one billion, ten million, one hundred six thousand, one hundred five".