102202120100021 has 2 divisors, whose sum is σ = 102202120100022. Its totient is φ = 102202120100020.

The previous prime is 102202120099997. The next prime is 102202120100039. The reversal of 102202120100021 is 120001021202201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 85381573246225 + 16820546853796 = 9240215^2 + 4101286^2 .

It is a cyclic number.

It is not a de Polignac number, because 102202120100021 - 2³⁰ = 102201046358197 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102202120099969 and 102202120100005.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102202120103021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51101060050010 + 51101060050011.

It is an arithmetic number, because the mean of its divisors is an integer number (51101060050011).

Almost surely, 2^{102202120100021} is an apocalyptic number.

It is an amenable number.

102202120100021 is a deficient number, since it is larger than the sum of its proper divisors (1).

102202120100021 is an equidigital number, since it uses as much as digits as its factorization.

102202120100021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 102202120100021 its reverse (120001021202201), we get a palindrome (222203141302222).

The spelling of 102202120100021 in words is "one hundred two trillion, two hundred two billion, one hundred twenty million, one hundred thousand, twenty-one".