10012001000101 has 2 divisors, whose sum is σ = 10012001000102. Its totient is φ = 10012001000100.

The previous prime is 10012001000093. The next prime is 10012001000147. The reversal of 10012001000101 is 10100010021001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9908481155076 + 103519845025 = 3147774^2 + 321745^2 .

It is a cyclic number.

It is not a de Polignac number, because 10012001000101 - 2³ = 10012001000093 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10012001007101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5006000500050 + 5006000500051.

It is an arithmetic number, because the mean of its divisors is an integer number (5006000500051).

Almost surely, 2^{10012001000101} is an apocalyptic number.

It is an amenable number.

10012001000101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10012001000101 is an equidigital number, since it uses as much as digits as its factorization.

10012001000101 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 10012001000101 its reverse (10100010021001), we get a palindrome (20112011021102).

The spelling of 10012001000101 in words is "ten trillion, twelve billion, one million, one hundred one", and thus it is an aban number.