2101100044217 has 2 divisors, whose sum is σ = 2101100044218. Its totient is φ = 2101100044216.

The previous prime is 2101100044157. The next prime is 2101100044223. The reversal of 2101100044217 is 7124400011012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2058375567616 + 42724476601 = 1434704^2 + 206699^2 .

It is a cyclic number.

It is not a de Polignac number, because 2101100044217 - 2¹⁸ = 2101099782073 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2101100044192 and 2101100044201.

It is not a weakly prime, because it can be changed into another prime (2101100044247) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050550022108 + 1050550022109.

It is an arithmetic number, because the mean of its divisors is an integer number (1050550022109).

Almost surely, 2^{2101100044217} is an apocalyptic number.

It is an amenable number.

2101100044217 is a deficient number, since it is larger than the sum of its proper divisors (1).

2101100044217 is an equidigital number, since it uses as much as digits as its factorization.

2101100044217 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 448, while the sum is 23.

Adding to 2101100044217 its reverse (7124400011012), we get a palindrome (9225500055229).

The spelling of 2101100044217 in words is "two trillion, one hundred one billion, one hundred million, forty-four thousand, two hundred seventeen".