1012002100217 has 2 divisors, whose sum is σ = 1012002100218. Its totient is φ = 1012002100216.

The previous prime is 1012002100201. The next prime is 1012002100259. The reversal of 1012002100217 is 7120012002101.

1012002100217 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 797629396201 + 214372704016 = 893101^2 + 463004^2 .

It is a cyclic number.

It is not a de Polignac number, because 1012002100217 - 2⁴ = 1012002100201 is a prime.

It is a super-2 number, since 2×1012002100217² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1012002100195 and 1012002100204.

It is not a weakly prime, because it can be changed into another prime (1012002108217) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 506001050108 + 506001050109.

It is an arithmetic number, because the mean of its divisors is an integer number (506001050109).

Almost surely, 2^{1012002100217} is an apocalyptic number.

It is an amenable number.

1012002100217 is a deficient number, since it is larger than the sum of its proper divisors (1).

1012002100217 is an equidigital number, since it uses as much as digits as its factorization.

1012002100217 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 56, while the sum is 17.

Adding to 1012002100217 its reverse (7120012002101), we get a palindrome (8132014102318).

The spelling of 1012002100217 in words is "one trillion, twelve billion, two million, one hundred thousand, two hundred seventeen".