100000010001101 has 16 divisors (see below), whose sum is σ = 121034590777344. Its totient is φ = 80763890519664.

The previous prime is 100000010001091. The next prime is 100000010001103. The reversal of 100000010001101 is 101100010000001.

It is a cyclic number.

It is not a de Polignac number, because 100000010001101 - 2¹⁴ = 100000009984717 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100000010001103) 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, 4635198725 + ... + 4635220298.

It is an arithmetic number, because the mean of its divisors is an integer number (7564661923584).

Almost surely, 2^{100000010001101} is an apocalyptic number.

It is an amenable number.

100000010001101 is a deficient number, since it is larger than the sum of its proper divisors (21034580776243).

100000010001101 is an equidigital number, since it uses as much as digits as its factorization.

100000010001101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9270419120.

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

Adding to 100000010001101 its reverse (101100010000001), we get a palindrome (201100020001102).

The spelling of 100000010001101 in words is "one hundred trillion, ten million, one thousand, one hundred one".