100001010101 has 16 divisors (see below), whose sum is σ = 102756221568. Its totient is φ = 97286112000.

The previous prime is 100001010091. The next prime is 100001010127. The reversal of 100001010101 is 101010100001.

It is a cyclic number.

It is not a de Polignac number, because 100001010101 - 2²² = 99996815797 is a prime.

It is a Duffinian number.

100001010101 is a modest number, since divided by 1010101 gives 1000 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100001012101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5040401 + ... + 5060201.

It is an arithmetic number, because the mean of its divisors is an integer number (6422263848).

Almost surely, 2^100001010101 is an apocalyptic number.

It is an amenable number.

100001010101 is a deficient number, since it is larger than the sum of its proper divisors (2755211467).

100001010101 is an equidigital number, since it uses as much as digits as its factorization.

100001010101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20812.

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 100001010101 its reverse (101010100001), we get a palindrome (201011110102).

The spelling of 100001010101 in words is "one hundred billion, one million, ten thousand, one hundred one".