10012110212101 has 2 divisors, whose sum is σ = 10012110212102. Its totient is φ = 10012110212100.

The previous prime is 10012110212081. The next prime is 10012110212183. The reversal of 10012110212101 is 10121201121001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8570993995876 + 1441116216225 = 2927626^2 + 1200465^2 .

It is a cyclic number.

It is not a de Polignac number, because 10012110212101 - 2³¹ = 10009962728453 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10012110212701) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5006055106050 + 5006055106051.

It is an arithmetic number, because the mean of its divisors is an integer number (5006055106051).

Almost surely, 2^{10012110212101} is an apocalyptic number.

It is an amenable number.

10012110212101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10012110212101 is an equidigital number, since it uses as much as digits as its factorization.

10012110212101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 10012110212101 its reverse (10121201121001), we get a palindrome (20133311333102).

The spelling of 10012110212101 in words is "ten trillion, twelve billion, one hundred ten million, two hundred twelve thousand, one hundred one".