100001001101 has 2 divisors, whose sum is σ = 100001001102. Its totient is φ = 100001001100.

The previous prime is 100001001091. The next prime is 100001001119. The reversal of 100001001101 is 101100100001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 72751575625 + 27249425476 = 269725^2 + 165074^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100001001101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100001021101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50000500550 + 50000500551.

It is an arithmetic number, because the mean of its divisors is an integer number (50000500551).

Almost surely, 2^100001001101 is an apocalyptic number.

It is an amenable number.

100001001101 is a deficient number, since it is larger than the sum of its proper divisors (1).

100001001101 is an equidigital number, since it uses as much as digits as its factorization.

100001001101 is an odious number, because the sum of its binary digits is odd.

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

Adding to 100001001101 its reverse (101100100001), we get a palindrome (201101101102).

It can be divided in two parts, 10000 and 1001101, that added together give a palindrome (1011101).

The spelling of 100001001101 in words is "one hundred billion, one million, one thousand, one hundred one".