100001101010101 has 16 divisors (see below), whose sum is σ = 101669878921600. Its totient is φ = 98333276961600.

The previous prime is 100001101010089. The next prime is 100001101010119. The reversal of 100001101010101 is 101010101100001.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100001101010101 is a prime.

It is a Duffinian number.

100001101010101 is a modest number, since divided by 1010101 gives 1000011 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100001101010131) 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, 3970018015 + ... + 3970043203.

It is an arithmetic number, because the mean of its divisors is an integer number (6354367432600).

Almost surely, 2^{100001101010101} is an apocalyptic number.

It is an amenable number.

100001101010101 is a deficient number, since it is larger than the sum of its proper divisors (1668777911499).

100001101010101 is an equidigital number, since it uses as much as digits as its factorization.

100001101010101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41500.

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

Adding to 100001101010101 its reverse (101010101100001), we get a palindrome (201011202110102).

It can be divided in two parts, 100001 and 101010101, that multiplied together give a palindrome (10101111110101).

The spelling of 100001101010101 in words is "one hundred trillion, one billion, one hundred one million, ten thousand, one hundred one".