10000220101177 has 2 divisors, whose sum is σ = 10000220101178. Its totient is φ = 10000220101176.

The previous prime is 10000220101127. The next prime is 10000220101213. The reversal of 10000220101177 is 77110102200001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8192967376896 + 1807252724281 = 2862336^2 + 1344341^2 .

It is a cyclic number.

It is not a de Polignac number, because 10000220101177 - 2¹⁵ = 10000220068409 is a prime.

It is not a weakly prime, because it can be changed into another prime (10000220101127) 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, 5000110050588 + 5000110050589.

It is an arithmetic number, because the mean of its divisors is an integer number (5000110050589).

Almost surely, 2^{10000220101177} is an apocalyptic number.

It is an amenable number.

10000220101177 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000220101177 is an equidigital number, since it uses as much as digits as its factorization.

10000220101177 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 196, while the sum is 22.

Adding to 10000220101177 its reverse (77110102200001), we get a palindrome (87110322301178).

The spelling of 10000220101177 in words is "ten trillion, two hundred twenty million, one hundred one thousand, one hundred seventy-seven".