102202020202001 has 2 divisors, whose sum is σ = 102202020202002. Its totient is φ = 102202020202000.

The previous prime is 102202020201961. The next prime is 102202020202109. The reversal of 102202020202001 is 100202020202201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 66565609500625 + 35636410701376 = 8158775^2 + 5969624^2 .

It is an emirp because it is prime and its reverse (100202020202201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102202020202001 - 2²⁶ = 102201953093137 is a prime.

It is not a weakly prime, because it can be changed into another prime (102202020202901) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51101010101000 + 51101010101001.

It is an arithmetic number, because the mean of its divisors is an integer number (51101010101001).

Almost surely, 2^{102202020202001} is an apocalyptic number.

It is an amenable number.

102202020202001 is a deficient number, since it is larger than the sum of its proper divisors (1).

102202020202001 is an equidigital number, since it uses as much as digits as its factorization.

102202020202001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 102202020202001 its reverse (100202020202201), we get a palindrome (202404040404202).

The spelling of 102202020202001 in words is "one hundred two trillion, two hundred two billion, twenty million, two hundred two thousand, one".