100105500111001 has 8 divisors (see below), whose sum is σ = 124806857281344. Its totient is φ = 78004285800720.

The previous prime is 100105500110963. The next prime is 100105500111049. The reversal of 100105500111001 is 100111005501001.

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 100105500111001 - 2¹⁷ = 100105499979929 is a prime.

It is a super-2 number, since 2×100105500111001² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100105500111601) 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, 650035714930 + ... + 650035715083.

It is an arithmetic number, because the mean of its divisors is an integer number (15600857160168).

Almost surely, 2^{100105500111001} is an apocalyptic number.

100105500111001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100105500111001 is a deficient number, since it is larger than the sum of its proper divisors (24701357170343).

100105500111001 is a wasteful number, since it uses less digits than its factorization.

100105500111001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1300071430031.

The product of its (nonzero) digits is 25, while the sum is 16.

Adding to 100105500111001 its reverse (100111005501001), we get a palindrome (200216505612002).

The spelling of 100105500111001 in words is "one hundred trillion, one hundred five billion, five hundred million, one hundred eleven thousand, one".