102220201088353 has 2 divisors, whose sum is σ = 102220201088354. Its totient is φ = 102220201088352.

The previous prime is 102220201088333. The next prime is 102220201088377. The reversal of 102220201088353 is 353880102022201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 98105518661329 + 4114682427024 = 9904823^2 + 2028468^2 .

It is a cyclic number.

It is not a de Polignac number, because 102220201088353 - 2¹³ = 102220201080161 is a prime.

It is not a weakly prime, because it can be changed into another prime (102220201088333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51110100544176 + 51110100544177.

It is an arithmetic number, because the mean of its divisors is an integer number (51110100544177).

Almost surely, 2^{102220201088353} is an apocalyptic number.

It is an amenable number.

102220201088353 is a deficient number, since it is larger than the sum of its proper divisors (1).

102220201088353 is an equidigital number, since it uses as much as digits as its factorization.

102220201088353 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 46080, while the sum is 37.

The spelling of 102220201088353 in words is "one hundred two trillion, two hundred twenty billion, two hundred one million, eighty-eight thousand, three hundred fifty-three".