100001021101 has 2 divisors, whose sum is σ = 100001021102. Its totient is φ = 100001021100.

The previous prime is 100001021093. The next prime is 100001021129. The reversal of 100001021101 is 101120100001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99988764100 + 12257001 = 316210^2 + 3501^2 .

It is a cyclic number.

It is not a de Polignac number, because 100001021101 - 2³ = 100001021093 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100001021161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50000510550 + 50000510551.

It is an arithmetic number, because the mean of its divisors is an integer number (50000510551).

Almost surely, 2^100001021101 is an apocalyptic number.

It is an amenable number.

100001021101 is a deficient number, since it is larger than the sum of its proper divisors (1).

100001021101 is an equidigital number, since it uses as much as digits as its factorization.

100001021101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 100001021101 its reverse (101120100001), we get a palindrome (201121121102).

The spelling of 100001021101 in words is "one hundred billion, one million, twenty-one thousand, one hundred one".