101012002002217 has 2 divisors, whose sum is σ = 101012002002218. Its totient is φ = 101012002002216.

The previous prime is 101012002002103. The next prime is 101012002002227. The reversal of 101012002002217 is 712200200210101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 57004553618496 + 44007448383721 = 7550136^2 + 6633811^2 .

It is a cyclic number.

It is not a de Polignac number, because 101012002002217 - 2²⁷ = 101011867784489 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101012002002194 and 101012002002203.

It is not a weakly prime, because it can be changed into another prime (101012002002227) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50506001001108 + 50506001001109.

It is an arithmetic number, because the mean of its divisors is an integer number (50506001001109).

Almost surely, 2^{101012002002217} is an apocalyptic number.

It is an amenable number.

101012002002217 is a deficient number, since it is larger than the sum of its proper divisors (1).

101012002002217 is an equidigital number, since it uses as much as digits as its factorization.

101012002002217 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 112, while the sum is 19.

Adding to 101012002002217 its reverse (712200200210101), we get a palindrome (813212202212318).

The spelling of 101012002002217 in words is "one hundred one trillion, twelve billion, two million, two thousand, two hundred seventeen".