102102202012249 has 2 divisors, whose sum is σ = 102102202012250. Its totient is φ = 102102202012248.

The previous prime is 102102202012199. The next prime is 102102202012267. The reversal of 102102202012249 is 942210202201201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101830299210000 + 271902802249 = 10091100^2 + 521443^2 .

It is a cyclic number.

It is not a de Polignac number, because 102102202012249 - 2⁷ = 102102202012121 is a prime.

It is not a weakly prime, because it can be changed into another prime (102102202012949) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51051101006124 + 51051101006125.

It is an arithmetic number, because the mean of its divisors is an integer number (51051101006125).

Almost surely, 2^{102102202012249} is an apocalyptic number.

It is an amenable number.

102102202012249 is a deficient number, since it is larger than the sum of its proper divisors (1).

102102202012249 is an equidigital number, since it uses as much as digits as its factorization.

102102202012249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2304, while the sum is 28.

The spelling of 102102202012249 in words is "one hundred two trillion, one hundred two billion, two hundred two million, twelve thousand, two hundred forty-nine".