101002120112021 has 2 divisors, whose sum is σ = 101002120112022. Its totient is φ = 101002120112020.

The previous prime is 101002120111993. The next prime is 101002120112027. The reversal of 101002120112021 is 120211021200101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100337063551921 + 665056560100 = 10016839^2 + 815510^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101002120112021 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101002120111987 and 101002120112005.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101002120112027) 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, 50501060056010 + 50501060056011.

It is an arithmetic number, because the mean of its divisors is an integer number (50501060056011).

Almost surely, 2^{101002120112021} is an apocalyptic number.

It is an amenable number.

101002120112021 is a deficient number, since it is larger than the sum of its proper divisors (1).

101002120112021 is an equidigital number, since it uses as much as digits as its factorization.

101002120112021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101002120112021 its reverse (120211021200101), we get a palindrome (221213141312122).

The spelling of 101002120112021 in words is "one hundred one trillion, two billion, one hundred twenty million, one hundred twelve thousand, twenty-one".