100106105001001 has 8 divisors (see below), whose sum is σ = 110996933116608. Its totient is φ = 89513655738000.

The previous prime is 100106105000953. The next prime is 100106105001043. The reversal of 100106105001001 is 100100501601001.

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 100106105001001 - 2¹¹ = 100106104998953 is a prime.

It is a super-2 number, since 2×100106105001001² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100106105008001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74594712445 + ... + 74594713786.

It is an arithmetic number, because the mean of its divisors is an integer number (13874616639576).

Almost surely, 2^{100106105001001} is an apocalyptic number.

100106105001001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100106105001001 is a deficient number, since it is larger than the sum of its proper divisors (10890828115607).

100106105001001 is a wasteful number, since it uses less digits than its factorization.

100106105001001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149189426303.

The product of its (nonzero) digits is 30, while the sum is 16.

Adding to 100106105001001 its reverse (100100501601001), we get a palindrome (200206606602002).

The spelling of 100106105001001 in words is "one hundred trillion, one hundred six billion, one hundred five million, one thousand, one".