10011022012177 has 2 divisors, whose sum is σ = 10011022012178. Its totient is φ = 10011022012176.

The previous prime is 10011022012003. The next prime is 10011022012213. The reversal of 10011022012177 is 77121022011001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6202470706576 + 3808551305601 = 2490476^2 + 1951551^2 .

It is a cyclic number.

It is not a de Polignac number, because 10011022012177 - 2¹⁹ = 10011021487889 is a prime.

It is not a weakly prime, because it can be changed into another prime (10011022012577) 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, 5005511006088 + 5005511006089.

It is an arithmetic number, because the mean of its divisors is an integer number (5005511006089).

Almost surely, 2^{10011022012177} is an apocalyptic number.

It is an amenable number.

10011022012177 is a deficient number, since it is larger than the sum of its proper divisors (1).

10011022012177 is an equidigital number, since it uses as much as digits as its factorization.

10011022012177 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 392, while the sum is 25.

Adding to 10011022012177 its reverse (77121022011001), we get a palindrome (87132044023178).

The spelling of 10011022012177 in words is "ten trillion, eleven billion, twenty-two million, twelve thousand, one hundred seventy-seven".