100001006101106 has 32 divisors (see below), whose sum is σ = 165124696056768. Its totient is φ = 45042222346240.

The previous prime is 100001006101069. The next prime is 100001006101229. The reversal of 100001006101106 is 601101600100001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5951570 + ... + 15343506.

It is an arithmetic number, because the mean of its divisors is an integer number (5160146751774).

Almost surely, 2^{100001006101106} is an apocalyptic number.

100001006101106 is a deficient number, since it is larger than the sum of its proper divisors (65123689955662).

100001006101106 is a wasteful number, since it uses less digits than its factorization.

100001006101106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9396346.

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 100001006101106 its reverse (601101600100001), we get a palindrome (701102606201107).

The spelling of 100001006101106 in words is "one hundred trillion, one billion, six million, one hundred one thousand, one hundred six".