101212002100217 has 2 divisors, whose sum is σ = 101212002100218. Its totient is φ = 101212002100216.

The previous prime is 101212002100193. The next prime is 101212002100283. The reversal of 101212002100217 is 712001200212101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 67965580527376 + 33246421572841 = 8244124^2 + 5765971^2 .

It is a cyclic number.

It is not a de Polignac number, because 101212002100217 - 2²⁸ = 101211733664761 is a prime.

It is a super-2 number, since 2×101212002100217² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101212002120217) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50606001050108 + 50606001050109.

It is an arithmetic number, because the mean of its divisors is an integer number (50606001050109).

Almost surely, 2^{101212002100217} is an apocalyptic number.

It is an amenable number.

101212002100217 is a deficient number, since it is larger than the sum of its proper divisors (1).

101212002100217 is an equidigital number, since it uses as much as digits as its factorization.

101212002100217 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 20.

Adding to 101212002100217 its reverse (712001200212101), we get a palindrome (813213202312318).

The spelling of 101212002100217 in words is "one hundred one trillion, two hundred twelve billion, two million, one hundred thousand, two hundred seventeen".