10113212101 has 2 divisors, whose sum is σ = 10113212102. Its totient is φ = 10113212100.

The previous prime is 10113212051. The next prime is 10113212129. The reversal of 10113212101 is 10121231101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5320973025 + 4792239076 = 72945^2 + 69226^2 .

It is a cyclic number.

It is not a de Polignac number, because 10113212101 - 2¹³ = 10113203909 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10113216101) 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, 5056606050 + 5056606051.

It is an arithmetic number, because the mean of its divisors is an integer number (5056606051).

Almost surely, 2^10113212101 is an apocalyptic number.

It is an amenable number.

10113212101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10113212101 is an equidigital number, since it uses as much as digits as its factorization.

10113212101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 10113212101 its reverse (10121231101), we get a palindrome (20234443202).

The spelling of 10113212101 in words is "ten billion, one hundred thirteen million, two hundred twelve thousand, one hundred one".