100201010201249 has 2 divisors, whose sum is σ = 100201010201250. Its totient is φ = 100201010201248.

The previous prime is 100201010201219. The next prime is 100201010201293. The reversal of 100201010201249 is 942102010102001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 81397512511249 + 18803497690000 = 9022057^2 + 4336300^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100201010201249 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (100201010201219) 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, 50100505100624 + 50100505100625.

It is an arithmetic number, because the mean of its divisors is an integer number (50100505100625).

Almost surely, 2^{100201010201249} is an apocalyptic number.

It is an amenable number.

100201010201249 is a deficient number, since it is larger than the sum of its proper divisors (1).

100201010201249 is an equidigital number, since it uses as much as digits as its factorization.

100201010201249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 23.

The spelling of 100201010201249 in words is "one hundred trillion, two hundred one billion, ten million, two hundred one thousand, two hundred forty-nine".