2111001122117 has 2 divisors, whose sum is σ = 2111001122118. Its totient is φ = 2111001122116.

The previous prime is 2111001122101. The next prime is 2111001122239. The reversal of 2111001122117 is 7112211001112.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1922088323236 + 188912798881 = 1386394^2 + 434641^2 .

It is a cyclic number.

It is not a de Polignac number, because 2111001122117 - 2⁴ = 2111001122101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2111001125117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1055500561058 + 1055500561059.

It is an arithmetic number, because the mean of its divisors is an integer number (1055500561059).

Almost surely, 2^{2111001122117} is an apocalyptic number.

It is an amenable number.

2111001122117 is a deficient number, since it is larger than the sum of its proper divisors (1).

2111001122117 is an equidigital number, since it uses as much as digits as its factorization.

2111001122117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 56, while the sum is 20.

Adding to 2111001122117 its reverse (7112211001112), we get a palindrome (9223212123229).

The spelling of 2111001122117 in words is "two trillion, one hundred eleven billion, one million, one hundred twenty-two thousand, one hundred seventeen".