100110110101001 has 128 divisors (see below), whose sum is σ = 137865297024000. Its totient is φ = 71635817594880.

The previous prime is 100110110100967. The next prime is 100110110101033. The reversal of 100110110101001 is 100101011011001.

It is not a de Polignac number, because 100110110101001 - 2³⁸ = 99835232194057 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100110110101001.

It is not an unprimeable number, because it can be changed into a prime (100110110101301) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16102636445 + ... + 16102642661.

It is an arithmetic number, because the mean of its divisors is an integer number (1077072633000).

Almost surely, 2^{100110110101001} is an apocalyptic number.

100110110101001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100110110101001 is a deficient number, since it is larger than the sum of its proper divisors (37755186922999).

100110110101001 is a wasteful number, since it uses less digits than its factorization.

100110110101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7904 (or 7890 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 100110110101001 its reverse (100101011011001), we get a palindrome (200211121112002).

The spelling of 100110110101001 in words is "one hundred trillion, one hundred ten billion, one hundred ten million, one hundred one thousand, one".