10020100021121 has 2 divisors, whose sum is σ = 10020100021122. Its totient is φ = 10020100021120.

The previous prime is 10020100021097. The next prime is 10020100021123. The reversal of 10020100021121 is 12112000102001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10006466890000 + 13633131121 = 3163300^2 + 116761^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10020100021121 is a prime.

Together with 10020100021123, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10020100021123) 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, 5010050010560 + 5010050010561.

It is an arithmetic number, because the mean of its divisors is an integer number (5010050010561).

Almost surely, 2^{10020100021121} is an apocalyptic number.

It is an amenable number.

10020100021121 is a deficient number, since it is larger than the sum of its proper divisors (1).

10020100021121 is an equidigital number, since it uses as much as digits as its factorization.

10020100021121 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 10020100021121 its reverse (12112000102001), we get a palindrome (22132100123122).

The spelling of 10020100021121 in words is "ten trillion, twenty billion, one hundred million, twenty-one thousand, one hundred twenty-one".