101121001212017 has 2 divisors, whose sum is σ = 101121001212018. Its totient is φ = 101121001212016.

The previous prime is 101121001211977. The next prime is 101121001212041. The reversal of 101121001212017 is 710212100121101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 68740166958961 + 32380834253056 = 8290969^2 + 5690416^2 .

It is a cyclic number.

It is not a de Polignac number, because 101121001212017 - 2¹² = 101121001207921 is a prime.

It is a super-2 number, since 2×101121001212017² (a number of 29 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 101121001212017.

It is not a weakly prime, because it can be changed into another prime (101121001212617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50560500606008 + 50560500606009.

It is an arithmetic number, because the mean of its divisors is an integer number (50560500606009).

Almost surely, 2^{101121001212017} is an apocalyptic number.

It is an amenable number.

101121001212017 is a deficient number, since it is larger than the sum of its proper divisors (1).

101121001212017 is an equidigital number, since it uses as much as digits as its factorization.

101121001212017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 56, while the sum is 20.

Adding to 101121001212017 its reverse (710212100121101), we get a palindrome (811333101333118).

The spelling of 101121001212017 in words is "one hundred one trillion, one hundred twenty-one billion, one million, two hundred twelve thousand, seventeen".