100001010101101 has 8 divisors (see below), whose sum is σ = 100634221688000. Its totient is φ = 99369105454080.

The previous prime is 100001010101099. The next prime is 100001010101207. The reversal of 100001010101101 is 101101010100001.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100001010101101 - 2¹ = 100001010101099 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 (100001010101401) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 326581455 + ... + 326887516.

It is an arithmetic number, because the mean of its divisors is an integer number (12579277711000).

Almost surely, 2^{100001010101101} is an apocalyptic number.

It is an amenable number.

100001010101101 is a deficient number, since it is larger than the sum of its proper divisors (633211586899).

100001010101101 is an equidigital number, since it uses as much as digits as its factorization.

100001010101101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 653469939.

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

Adding to 100001010101101 its reverse (101101010100001), we get a palindrome (201102020201102).

The spelling of 100001010101101 in words is "one hundred trillion, one billion, ten million, one hundred one thousand, one hundred one".