100001010101001 has 32 divisors (see below), whose sum is σ = 135378504493056. Its totient is φ = 65652618240000.

The previous prime is 100001010100897. The next prime is 100001010101009. The reversal of 100001010101001 is 100101010100001.

It is not a de Polignac number, because 100001010101001 - 2¹⁷ = 100001009969929 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100001010101009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 432832425 + ... + 433063401.

It is an arithmetic number, because the mean of its divisors is an integer number (4230578265408).

Almost surely, 2^{100001010101001} is an apocalyptic number.

It is an amenable number.

100001010101001 is a deficient number, since it is larger than the sum of its proper divisors (35377494392055).

100001010101001 is a wasteful number, since it uses less digits than its factorization.

100001010101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238753.

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

Adding to 100001010101001 its reverse (100101010100001), we get a palindrome (200102020201002).

The spelling of 100001010101001 in words is "one hundred trillion, one billion, ten million, one hundred one thousand, one".