2101120000117 has 2 divisors, whose sum is σ = 2101120000118. Its totient is φ = 2101120000116.

The previous prime is 2101120000099. The next prime is 2101120000127. The reversal of 2101120000117 is 7110000211012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1945715322321 + 155404677796 = 1394889^2 + 394214^2 .

It is a cyclic number.

It is not a de Polignac number, because 2101120000117 - 2¹¹ = 2101119998069 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2101120000117.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2101120000127) 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, 1050560000058 + 1050560000059.

It is an arithmetic number, because the mean of its divisors is an integer number (1050560000059).

Almost surely, 2^{2101120000117} is an apocalyptic number.

It is an amenable number.

2101120000117 is a deficient number, since it is larger than the sum of its proper divisors (1).

2101120000117 is an equidigital number, since it uses as much as digits as its factorization.

2101120000117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28, while the sum is 16.

Adding to 2101120000117 its reverse (7110000211012), we get a palindrome (9211120211129).

The spelling of 2101120000117 in words is "two trillion, one hundred one billion, one hundred twenty million, one hundred seventeen", and thus it is an aban number.