2100123011117 has 2 divisors, whose sum is σ = 2100123011118. Its totient is φ = 2100123011116.

The previous prime is 2100123011081. The next prime is 2100123011137. The reversal of 2100123011117 is 7111103210012.

It is an a-pointer prime, because the next prime (2100123011137) can be obtained adding 2100123011117 to its sum of digits (20).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1147353753316 + 952769257801 = 1071146^2 + 976099^2 .

It is a cyclic number.

It is not a de Polignac number, because 2100123011117 - 2¹⁸ = 2100122748973 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2100123011137) 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, 1050061505558 + 1050061505559.

It is an arithmetic number, because the mean of its divisors is an integer number (1050061505559).

Almost surely, 2^{2100123011117} is an apocalyptic number.

It is an amenable number.

2100123011117 is a deficient number, since it is larger than the sum of its proper divisors (1).

2100123011117 is an equidigital number, since it uses as much as digits as its factorization.

2100123011117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 84, while the sum is 20.

Adding to 2100123011117 its reverse (7111103210012), we get a palindrome (9211226221129).

The spelling of 2100123011117 in words is "two trillion, one hundred billion, one hundred twenty-three million, eleven thousand, one hundred seventeen".