101121212001217 has 2 divisors, whose sum is σ = 101121212001218. Its totient is φ = 101121212001216.

The previous prime is 101121212001211. The next prime is 101121212001233. The reversal of 101121212001217 is 712100212121101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 97222735505281 + 3898476495936 = 9860159^2 + 1974456^2 .

It is a cyclic number.

It is not a de Polignac number, because 101121212001217 - 2³⁵ = 101086852262849 is a prime.

It is not a weakly prime, because it can be changed into another prime (101121212001211) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50560606000608 + 50560606000609.

It is an arithmetic number, because the mean of its divisors is an integer number (50560606000609).

Almost surely, 2^{101121212001217} is an apocalyptic number.

It is an amenable number.

101121212001217 is a deficient number, since it is larger than the sum of its proper divisors (1).

101121212001217 is an equidigital number, since it uses as much as digits as its factorization.

101121212001217 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 22.

Adding to 101121212001217 its reverse (712100212121101), we get a palindrome (813221424122318).

The spelling of 101121212001217 in words is "one hundred one trillion, one hundred twenty-one billion, two hundred twelve million, one thousand, two hundred seventeen".