100001010110101 has 32 divisors (see below), whose sum is σ = 106658776396800. Its totient is φ = 93557890888704.

The previous prime is 100001010110093. The next prime is 100001010110107. The reversal of 100001010110101 is 101011010100001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100001010110101 - 2³ = 100001010110093 is a prime.

It is a super-2 number, since 2×100001010110101² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100001010110107) 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, 155225550 + ... + 155868448.

It is an arithmetic number, because the mean of its divisors is an integer number (3333086762400).

Almost surely, 2^{100001010110101} is an apocalyptic number.

It is an amenable number.

100001010110101 is a deficient number, since it is larger than the sum of its proper divisors (6657766286699).

100001010110101 is a wasteful number, since it uses less digits than its factorization.

100001010110101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643705.

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

Adding to 100001010110101 its reverse (101011010100001), we get a palindrome (201012020210102).

The spelling of 100001010110101 in words is "one hundred trillion, one billion, ten million, one hundred ten thousand, one hundred one".