1000100000101 has 2 divisors, whose sum is σ = 1000100000102. Its totient is φ = 1000100000100.

The previous prime is 1000100000093. The next prime is 1000100000143. The reversal of 1000100000101 is 1010000010001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 989280879876 + 10819120225 = 994626^2 + 104015^2 .

It is an emirp because it is prime and its reverse (1010000010001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1000100000101 - 2³ = 1000100000093 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1000100000401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500050000050 + 500050000051.

It is an arithmetic number, because the mean of its divisors is an integer number (500050000051).

Almost surely, 2^{1000100000101} is an apocalyptic number.

It is an amenable number.

1000100000101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000100000101 is an equidigital number, since it uses as much as digits as its factorization.

1000100000101 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 4.

Adding to 1000100000101 its reverse (1010000010001), we get a palindrome (2010100010102).

The spelling of 1000100000101 in words is "one trillion, one hundred million, one hundred one", and thus it is an aban number.