10012012101101 has 2 divisors, whose sum is σ = 10012012101102. Its totient is φ = 10012012101100.

The previous prime is 10012012101001. The next prime is 10012012101107. The reversal of 10012012101101 is 10110121021001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5043950023876 + 4968062077225 = 2245874^2 + 2228915^2 .

It is a cyclic number.

It is not a de Polignac number, because 10012012101101 - 2⁴² = 5613965589997 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10012012101107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5006006050550 + 5006006050551.

It is an arithmetic number, because the mean of its divisors is an integer number (5006006050551).

Almost surely, 2^{10012012101101} is an apocalyptic number.

It is an amenable number.

10012012101101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10012012101101 is an equidigital number, since it uses as much as digits as its factorization.

10012012101101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 10012012101101 its reverse (10110121021001), we get a palindrome (20122133122102).

The spelling of 10012012101101 in words is "ten trillion, twelve billion, twelve million, one hundred one thousand, one hundred one".