10010101221049 has 2 divisors, whose sum is σ = 10010101221050. Its totient is φ = 10010101221048.

The previous prime is 10010101221023. The next prime is 10010101221059. The reversal of 10010101221049 is 94012210101001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8302218161449 + 1707883059600 = 2881357^2 + 1306860^2 .

It is a cyclic number.

It is not a de Polignac number, because 10010101221049 - 2¹³ = 10010101212857 is a prime.

It is not a weakly prime, because it can be changed into another prime (10010101221019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005050610524 + 5005050610525.

It is an arithmetic number, because the mean of its divisors is an integer number (5005050610525).

Almost surely, 2^{10010101221049} is an apocalyptic number.

It is an amenable number.

10010101221049 is a deficient number, since it is larger than the sum of its proper divisors (1).

10010101221049 is an equidigital number, since it uses as much as digits as its factorization.

10010101221049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 22.

The spelling of 10010101221049 in words is "ten trillion, ten billion, one hundred one million, two hundred twenty-one thousand, forty-nine".