1001006101108 has 192 divisors, whose sum is σ = 2025119416320. Its totient is φ = 429463254528.

The previous prime is 1001006101087. The next prime is 1001006101111. The reversal of 1001006101108 is 8011016001001.

It is a super-4 number, since 4×1001006101108⁴ (a number of 49 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1705291191 + ... + 1705291777.

It is an arithmetic number, because the mean of its divisors is an integer number (10547496960).

Almost surely, 2^{1001006101108} is an apocalyptic number.

It is an amenable number.

1001006101108 is an abundant number, since it is smaller than the sum of its proper divisors (1024113315212).

1001006101108 is a wasteful number, since it uses less digits than its factorization.

1001006101108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 966 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 19.

The spelling of 1001006101108 in words is "one trillion, one billion, six million, one hundred one thousand, one hundred eight".