100106005601101 has 8 divisors (see below), whose sum is σ = 100993617244800. Its totient is φ = 99218424094272.

The previous prime is 100106005601087. The next prime is 100106005601111. The reversal of 100106005601101 is 101106500601001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100106005601101 - 2¹⁵ = 100106005568333 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100106005601111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 835051 + ... + 14174248.

It is an arithmetic number, because the mean of its divisors is an integer number (12624202155600).

Almost surely, 2^{100106005601101} is an apocalyptic number.

It is an amenable number.

100106005601101 is a deficient number, since it is larger than the sum of its proper divisors (887611643699).

100106005601101 is a wasteful number, since it uses less digits than its factorization.

100106005601101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15068435.

The product of its (nonzero) digits is 180, while the sum is 22.

The spelling of 100106005601101 in words is "one hundred trillion, one hundred six billion, five million, six hundred one thousand, one hundred one".