10101012012101 has 2 divisors, whose sum is σ = 10101012012102. Its totient is φ = 10101012012100.

The previous prime is 10101012012067. The next prime is 10101012012103. The reversal of 10101012012101 is 10121021010101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10100510296900 + 501715201 = 3178130^2 + 22399^2 .

It is an emirp because it is prime and its reverse (10121021010101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10101012012101 - 2³⁰ = 10099938270277 is a prime.

Together with 10101012012103, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10101012012103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050506006050 + 5050506006051.

It is an arithmetic number, because the mean of its divisors is an integer number (5050506006051).

Almost surely, 2^{10101012012101} is an apocalyptic number.

It is an amenable number.

10101012012101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10101012012101 is an equidigital number, since it uses as much as digits as its factorization.

10101012012101 is an evil number, because the sum of its binary digits is even.

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

Adding to 10101012012101 its reverse (10121021010101), we get a palindrome (20222033022202).

The spelling of 10101012012101 in words is "ten trillion, one hundred one billion, twelve million, twelve thousand, one hundred one".