2120221120177 has 2 divisors, whose sum is σ = 2120221120178. Its totient is φ = 2120221120176.

The previous prime is 2120221119977. The next prime is 2120221120207. The reversal of 2120221120177 is 7710211220212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1866068013681 + 254153106496 = 1366041^2 + 504136^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2120221120177 is a prime.

It is a super-2 number, since 2×2120221120177² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2120221127177) 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, 1060110560088 + 1060110560089.

It is an arithmetic number, because the mean of its divisors is an integer number (1060110560089).

Almost surely, 2^{2120221120177} is an apocalyptic number.

It is an amenable number.

2120221120177 is a deficient number, since it is larger than the sum of its proper divisors (1).

2120221120177 is an equidigital number, since it uses as much as digits as its factorization.

2120221120177 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1568, while the sum is 28.

Adding to 2120221120177 its reverse (7710211220212), we get a palindrome (9830432340389).

The spelling of 2120221120177 in words is "two trillion, one hundred twenty billion, two hundred twenty-one million, one hundred twenty thousand, one hundred seventy-seven".