2101100023417 has 2 divisors, whose sum is σ = 2101100023418. Its totient is φ = 2101100023416.

The previous prime is 2101100023261. The next prime is 2101100023433. The reversal of 2101100023417 is 7143200011012.

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., 1466240061456 + 634859961961 = 1210884^2 + 796781^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2101100023417 is a prime.

It is not a weakly prime, because it can be changed into another prime (2101100023817) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050550011708 + 1050550011709.

It is an arithmetic number, because the mean of its divisors is an integer number (1050550011709).

Almost surely, 2^{2101100023417} is an apocalyptic number.

It is an amenable number.

2101100023417 is a deficient number, since it is larger than the sum of its proper divisors (1).

2101100023417 is an equidigital number, since it uses as much as digits as its factorization.

2101100023417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 336, while the sum is 22.

Adding to 2101100023417 its reverse (7143200011012), we get a palindrome (9244300034429).

The spelling of 2101100023417 in words is "two trillion, one hundred one billion, one hundred million, twenty-three thousand, four hundred seventeen".