102100002202021 has 2 divisors, whose sum is σ = 102100002202022. Its totient is φ = 102100002202020.

The previous prime is 102100002202013. The next prime is 102100002202039. The reversal of 102100002202021 is 120202200001201.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 101989013279521 + 110988922500 = 10098961^2 + 333150^2 .

It is a cyclic number.

It is not a de Polignac number, because 102100002202021 - 2³ = 102100002202013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102100002201992 and 102100002202010.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102100002202321) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51050001101010 + 51050001101011.

It is an arithmetic number, because the mean of its divisors is an integer number (51050001101011).

Almost surely, 2^{102100002202021} is an apocalyptic number.

It is an amenable number.

102100002202021 is a deficient number, since it is larger than the sum of its proper divisors (1).

102100002202021 is an equidigital number, since it uses as much as digits as its factorization.

102100002202021 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 102100002202021 its reverse (120202200001201), we get a palindrome (222302202203222).

The spelling of 102100002202021 in words is "one hundred two trillion, one hundred billion, two million, two hundred two thousand, twenty-one".