2120011022117 has 2 divisors, whose sum is σ = 2120011022118. Its totient is φ = 2120011022116.

The previous prime is 2120011022099. The next prime is 2120011022131. The reversal of 2120011022117 is 7112201100212.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2005058832001 + 114952190116 = 1416001^2 + 339046^2 .

It is a cyclic number.

It is not a de Polignac number, because 2120011022117 - 2³² = 2115716054821 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2120011022147) 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, 1060005511058 + 1060005511059.

It is an arithmetic number, because the mean of its divisors is an integer number (1060005511059).

Almost surely, 2^{2120011022117} is an apocalyptic number.

It is an amenable number.

2120011022117 is a deficient number, since it is larger than the sum of its proper divisors (1).

2120011022117 is an equidigital number, since it uses as much as digits as its factorization.

2120011022117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 112, while the sum is 20.

Adding to 2120011022117 its reverse (7112201100212), we get a palindrome (9232212122329).

The spelling of 2120011022117 in words is "two trillion, one hundred twenty billion, eleven million, twenty-two thousand, one hundred seventeen".