100101000011101 has 16 divisors (see below), whose sum is σ = 106444131070464. Its totient is φ = 93924460774144.

The previous prime is 100101000011093. The next prime is 100101000011149. The reversal of 100101000011101 is 101110000101001.

It is a happy number.

It is not a de Polignac number, because 100101000011101 - 2³ = 100101000011093 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 (100101000011801) 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, 1294261 + ... + 14208346.

It is an arithmetic number, because the mean of its divisors is an integer number (6652758191904).

Almost surely, 2^{100101000011101} is an apocalyptic number.

It is an amenable number.

100101000011101 is a deficient number, since it is larger than the sum of its proper divisors (6343131059363).

100101000011101 is a wasteful number, since it uses less digits than its factorization.

100101000011101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15507980.

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

Adding to 100101000011101 its reverse (101110000101001), we get a palindrome (201211000112102).

The spelling of 100101000011101 in words is "one hundred trillion, one hundred one billion, eleven thousand, one hundred one".