100000110101001 has 16 divisors (see below), whose sum is σ = 145456691362560. Its totient is φ = 60605299933520.

The previous prime is 100000110100939. The next prime is 100000110101027. The reversal of 100000110101001 is 100101011000001.

It is a cyclic number.

It is not a de Polignac number, because 100000110101001 - 2¹⁰ = 100000110099977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100000110101071) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18226815 + ... + 23069828.

It is an arithmetic number, because the mean of its divisors is an integer number (9091043210160).

Almost surely, 2^{100000110101001} is an apocalyptic number.

100000110101001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100000110101001 is a deficient number, since it is larger than the sum of its proper divisors (45456581261559).

100000110101001 is a wasteful number, since it uses less digits than its factorization.

100000110101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41370036.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 100000110101001 its reverse (100101011000001), we get a palindrome (200101121101002).

The spelling of 100000110101001 in words is "one hundred trillion, one hundred ten million, one hundred one thousand, one".