1006101010105 has 16 divisors (see below), whose sum is σ = 1214951924160. Its totient is φ = 799795487808.

The previous prime is 1006101010099. The next prime is 1006101010151. The reversal of 1006101010105 is 5010101016001.

It is a cyclic number.

It is not a de Polignac number, because 1006101010105 - 2⁵ = 1006101010073 is a prime.

It is a super-2 number, since 2×1006101010105² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4422891 + ... + 4644799.

It is an arithmetic number, because the mean of its divisors is an integer number (75934495260).

Almost surely, 2^{1006101010105} is an apocalyptic number.

It is an amenable number.

1006101010105 is a deficient number, since it is larger than the sum of its proper divisors (208850914055).

1006101010105 is a wasteful number, since it uses less digits than its factorization.

1006101010105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227640.

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

Adding to 1006101010105 its reverse (5010101016001), we get a palindrome (6016202026106).

The spelling of 1006101010105 in words is "one trillion, six billion, one hundred one million, ten thousand, one hundred five".