100010010000101 has 2 divisors, whose sum is σ = 100010010000102. Its totient is φ = 100010010000100.

The previous prime is 100010010000079. The next prime is 100010010000157. The reversal of 100010010000101 is 101000010010001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 60908425228225 + 39101584771876 = 7804385^2 + 6253126^2 .

It is a cyclic number.

It is not a de Polignac number, because 100010010000101 - 2⁶ = 100010010000037 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100010010000001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50005005000050 + 50005005000051.

It is an arithmetic number, because the mean of its divisors is an integer number (50005005000051).

Almost surely, 2^{100010010000101} is an apocalyptic number.

It is an amenable number.

100010010000101 is a deficient number, since it is larger than the sum of its proper divisors (1).

100010010000101 is an equidigital number, since it uses as much as digits as its factorization.

100010010000101 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 100010010000101 its reverse (101000010010001), we get a palindrome (201010020010102).

The spelling of 100010010000101 in words is "one hundred trillion, ten billion, ten million, one hundred one", and thus it is an aban number.