100101010101001 has 8 divisors (see below), whose sum is σ = 123201243201344. Its totient is φ = 79200799200720.

The previous prime is 100101010100989. The next prime is 100101010101007.

It is a happy number.

100101010101001 is nontrivially palindromic in base 10.

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 100101010101001 - 2¹⁷ = 100101009969929 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (7).

100101010101001 is a strobogrammatic number because it is the same when read upside-down.

It is not an unprimeable number, because it can be changed into a prime (100101010101007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 550005549915 + ... + 550005550096.

It is an arithmetic number, because the mean of its divisors is an integer number (15400155400168).

Almost surely, 2^{100101010101001} is an apocalyptic number.

It is an amenable number.

100101010101001 is a deficient number, since it is larger than the sum of its proper divisors (23100233100343).

100101010101001 is a wasteful number, since it uses less digits than its factorization.

100101010101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1100011100031.

The product of its (nonzero) digits is 1, while the sum is 7.

The spelling of 100101010101001 in words is "one hundred trillion, one hundred one billion, ten million, one hundred one thousand, one".