2100123020117 has 2 divisors, whose sum is σ = 2100123020118. Its totient is φ = 2100123020116.

The previous prime is 2100123020057. The next prime is 2100123020137. The reversal of 2100123020117 is 7110203210012.

It is an a-pointer prime, because the next prime (2100123020137) can be obtained adding 2100123020117 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., 1809802493521 + 290320526596 = 1345289^2 + 538814^2 .

It is a cyclic number.

It is not a de Polignac number, because 2100123020117 - 2¹² = 2100123016021 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2100123020137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050061510058 + 1050061510059.

It is an arithmetic number, because the mean of its divisors is an integer number (1050061510059).

Almost surely, 2^{2100123020117} is an apocalyptic number.

It is an amenable number.

2100123020117 is a deficient number, since it is larger than the sum of its proper divisors (1).

2100123020117 is an equidigital number, since it uses as much as digits as its factorization.

2100123020117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 168, while the sum is 20.

Adding to 2100123020117 its reverse (7110203210012), we get a palindrome (9210326230129).

The spelling of 2100123020117 in words is "two trillion, one hundred billion, one hundred twenty-three million, twenty thousand, one hundred seventeen".