100100010101101 has 16 divisors (see below), whose sum is σ = 100618913102400. Its totient is φ = 99582797115648.

The previous prime is 100100010101099. The next prime is 100100010101107. The reversal of 100100010101101 is 101101010001001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100100010101101 - 2¹ = 100100010101099 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100100010101107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 235270906 + ... + 235695988.

It is an arithmetic number, because the mean of its divisors is an integer number (6288682068900).

Almost surely, 2^{100100010101101} is an apocalyptic number.

It is an amenable number.

100100010101101 is a deficient number, since it is larger than the sum of its proper divisors (518903001299).

100100010101101 is a wasteful number, since it uses less digits than its factorization.

100100010101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427068.

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

Adding to 100100010101101 its reverse (101101010001001), we get a palindrome (201201020102102).

The spelling of 100100010101101 in words is "one hundred trillion, one hundred billion, ten million, one hundred one thousand, one hundred one".