100010001101 has 2 divisors, whose sum is σ = 100010001102. Its totient is φ = 100010001100.

The previous prime is 100010001071. The next prime is 100010001103. The reversal of 100010001101 is 101100010001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 92458564900 + 7551436201 = 304070^2 + 86899^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100010001101 is a prime.

Together with 100010001103, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100010001103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50005000550 + 50005000551.

It is an arithmetic number, because the mean of its divisors is an integer number (50005000551).

Almost surely, 2^100010001101 is an apocalyptic number.

It is an amenable number.

100010001101 is a deficient number, since it is larger than the sum of its proper divisors (1).

100010001101 is an equidigital number, since it uses as much as digits as its factorization.

100010001101 is an evil number, because the sum of its binary digits is even.

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

Adding to 100010001101 its reverse (101100010001), we get a palindrome (201110011102).

It can be divided in two parts, 100010001 and 101, that multiplied together give a palindrome (10101010101).

The spelling of 100010001101 in words is "one hundred billion, ten million, one thousand, one hundred one".