102220102200001 has 2 divisors, whose sum is σ = 102220102200002. Its totient is φ = 102220102200000.

The previous prime is 102220102199989. The next prime is 102220102200037. The reversal of 102220102200001 is 100002201022201.

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., 73469583673600 + 28750518526401 = 8571440^2 + 5361951^2 .

It is a cyclic number.

It is not a de Polignac number, because 102220102200001 - 2³⁵ = 102185742461633 is a prime.

It is not a weakly prime, because it can be changed into another prime (102220102200091) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51110051100000 + 51110051100001.

It is an arithmetic number, because the mean of its divisors is an integer number (51110051100001).

Almost surely, 2^{102220102200001} is an apocalyptic number.

It is an amenable number.

102220102200001 is a deficient number, since it is larger than the sum of its proper divisors (1).

102220102200001 is an equidigital number, since it uses as much as digits as its factorization.

102220102200001 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 13.

Adding to 102220102200001 its reverse (100002201022201), we get a palindrome (202222303222202).

The spelling of 102220102200001 in words is "one hundred two trillion, two hundred twenty billion, one hundred two million, two hundred thousand, one".