1001005006101 has 16 divisors (see below), whose sum is σ = 1393058365440. Its totient is φ = 638158981680.

The previous prime is 1001005006031. The next prime is 1001005006103. The reversal of 1001005006101 is 1016005001001.

It is not a de Polignac number, because 1001005006101 - 2⁹ = 1001005005589 is a prime.

It is a super-2 number, since 2×1001005006101² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001005006103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1580485 + ... + 2121306.

It is an arithmetic number, because the mean of its divisors is an integer number (87066147840).

Almost surely, 2^{1001005006101} is an apocalyptic number.

It is an amenable number.

1001005006101 is a deficient number, since it is larger than the sum of its proper divisors (392053359339).

1001005006101 is a wasteful number, since it uses less digits than its factorization.

1001005006101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3705736.

The product of its (nonzero) digits is 30, while the sum is 15.

The spelling of 1001005006101 in words is "one trillion, one billion, five million, six thousand, one hundred one".