102200022022001 has 2 divisors, whose sum is σ = 102200022022002. Its totient is φ = 102200022022000.

The previous prime is 102200022021997. The next prime is 102200022022013. The reversal of 102200022022001 is 100220220002201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 95309139769600 + 6890882252401 = 9762640^2 + 2625049^2 .

It is a cyclic number.

It is not a de Polignac number, because 102200022022001 - 2² = 102200022021997 is a prime.

It is not a weakly prime, because it can be changed into another prime (102200022022031) 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, 51100011011000 + 51100011011001.

It is an arithmetic number, because the mean of its divisors is an integer number (51100011011001).

Almost surely, 2^{102200022022001} is an apocalyptic number.

It is an amenable number.

102200022022001 is a deficient number, since it is larger than the sum of its proper divisors (1).

102200022022001 is an equidigital number, since it uses as much as digits as its factorization.

102200022022001 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 102200022022001 its reverse (100220220002201), we get a palindrome (202420242024202).

The spelling of 102200022022001 in words is "one hundred two trillion, two hundred billion, twenty-two million, twenty-two thousand, one".