101012002002101 has 2 divisors, whose sum is σ = 101012002002102. Its totient is φ = 101012002002100.

The previous prime is 101012002002091. The next prime is 101012002002103. The reversal of 101012002002101 is 101200200210101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 50808740400625 + 50203261601476 = 7128025^2 + 7085426^2 .

It is a cyclic number.

It is not a de Polignac number, because 101012002002101 - 2³⁴ = 100994822132917 is a prime.

Together with 101012002002103, 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 (101012002002103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50506001001050 + 50506001001051.

It is an arithmetic number, because the mean of its divisors is an integer number (50506001001051).

Almost surely, 2^{101012002002101} is an apocalyptic number.

It is an amenable number.

101012002002101 is a deficient number, since it is larger than the sum of its proper divisors (1).

101012002002101 is an equidigital number, since it uses as much as digits as its factorization.

101012002002101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 101012002002101 its reverse (101200200210101), we get a palindrome (202212202212202).

The spelling of 101012002002101 in words is "one hundred one trillion, twelve billion, two million, two thousand, one hundred one".