2100101100217 has 2 divisors, whose sum is σ = 2100101100218. Its totient is φ = 2100101100216.

The previous prime is 2100101100191. The next prime is 2100101100269. The reversal of 2100101100217 is 7120011010012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2098627384896 + 1473715321 = 1448664^2 + 38389^2 .

It is a cyclic number.

It is not a de Polignac number, because 2100101100217 - 2¹⁹ = 2100100575929 is a prime.

It is a super-2 number, since 2×2100101100217² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2100101100217.

It is not a weakly prime, because it can be changed into another prime (2100101160217) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050050550108 + 1050050550109.

It is an arithmetic number, because the mean of its divisors is an integer number (1050050550109).

Almost surely, 2^{2100101100217} is an apocalyptic number.

It is an amenable number.

2100101100217 is a deficient number, since it is larger than the sum of its proper divisors (1).

2100101100217 is an equidigital number, since it uses as much as digits as its factorization.

2100101100217 is an evil number, because the sum of its binary digits is even.

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

Adding to 2100101100217 its reverse (7120011010012), we get a palindrome (9220112110229).

The spelling of 2100101100217 in words is "two trillion, one hundred billion, one hundred one million, one hundred thousand, two hundred seventeen".