100100001006 has 12 divisors (see below), whose sum is σ = 216883335552. Its totient is φ = 33366666996.

The previous prime is 100100000993. The next prime is 100100001031. The reversal of 100100001006 is 600100001001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2780555566 + ... + 2780555601.

It is an arithmetic number, because the mean of its divisors is an integer number (18073611296).

Almost surely, 2^100100001006 is an apocalyptic number.

100100001006 is an abundant number, since it is smaller than the sum of its proper divisors (116783334546).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100100001006 is a wasteful number, since it uses less digits than its factorization.

100100001006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5561111175 (or 5561111172 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 100100001006 its reverse (600100001001), we get a palindrome (700200002007).

The spelling of 100100001006 in words is "one hundred billion, one hundred million, one thousand, six".