101021010121217 has 2 divisors, whose sum is σ = 101021010121218. Its totient is φ = 101021010121216.

The previous prime is 101021010121201. The next prime is 101021010121247. The reversal of 101021010121217 is 712121010120101.

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., 94758523891201 + 6262486230016 = 9734399^2 + 2502496^2 .

It is a cyclic number.

It is not a de Polignac number, because 101021010121217 - 2⁴ = 101021010121201 is a prime.

It is a super-2 number, since 2×101021010121217² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101021010121247) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50510505060608 + 50510505060609.

It is an arithmetic number, because the mean of its divisors is an integer number (50510505060609).

Almost surely, 2^{101021010121217} is an apocalyptic number.

It is an amenable number.

101021010121217 is a deficient number, since it is larger than the sum of its proper divisors (1).

101021010121217 is an equidigital number, since it uses as much as digits as its factorization.

101021010121217 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 20.

Adding to 101021010121217 its reverse (712121010120101), we get a palindrome (813142020241318).

The spelling of 101021010121217 in words is "one hundred one trillion, twenty-one billion, ten million, one hundred twenty-one thousand, two hundred seventeen".