102102100210021 has 2 divisors, whose sum is σ = 102102100210022. Its totient is φ = 102102100210020.

The previous prime is 102102100209899. The next prime is 102102100210111. The reversal of 102102100210021 is 120012001201201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 68830418888100 + 33271681321921 = 8296410^2 + 5768161^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102102100210021 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102102100209983 and 102102100210010.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102102100210421) 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, 51051050105010 + 51051050105011.

It is an arithmetic number, because the mean of its divisors is an integer number (51051050105011).

Almost surely, 2^{102102100210021} is an apocalyptic number.

It is an amenable number.

102102100210021 is a deficient number, since it is larger than the sum of its proper divisors (1).

102102100210021 is an equidigital number, since it uses as much as digits as its factorization.

102102100210021 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 13.

Adding to 102102100210021 its reverse (120012001201201), we get a palindrome (222114101411222).

The spelling of 102102100210021 in words is "one hundred two trillion, one hundred two billion, one hundred million, two hundred ten thousand, twenty-one".