101000010001101 has 32 divisors (see below), whose sum is σ = 138198865286400. Its totient is φ = 65594922522624.

The previous prime is 101000010001097. The next prime is 101000010001117. The reversal of 101000010001101 is 101100010000101.

It is not a de Polignac number, because 101000010001101 - 2² = 101000010001097 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101000010001101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101000010001001) 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, 2487520 + ... + 14428713.

It is an arithmetic number, because the mean of its divisors is an integer number (4318714540200).

Almost surely, 2^{101000010001101} is an apocalyptic number.

It is an amenable number.

101000010001101 is a deficient number, since it is larger than the sum of its proper divisors (37198855285299).

101000010001101 is a wasteful number, since it uses less digits than its factorization.

101000010001101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16916645.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 101000010001101 its reverse (101100010000101), we get a palindrome (202100020001202).

The spelling of 101000010001101 in words is "one hundred one trillion, ten million, one thousand, one hundred one".