101222210121217 has 2 divisors, whose sum is σ = 101222210121218. Its totient is φ = 101222210121216.

The previous prime is 101222210121211. The next prime is 101222210121229. The reversal of 101222210121217 is 712121012222101.

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., 82677120548416 + 18545089572801 = 9092696^2 + 4306401^2 .

It is a cyclic number.

It is not a de Polignac number, because 101222210121217 - 2³ = 101222210121209 is a prime.

It is a super-2 number, since 2×101222210121217² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101222210121191 and 101222210121200.

It is not a weakly prime, because it can be changed into another prime (101222210121211) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50611105060608 + 50611105060609.

It is an arithmetic number, because the mean of its divisors is an integer number (50611105060609).

Almost surely, 2^{101222210121217} is an apocalyptic number.

It is an amenable number.

101222210121217 is a deficient number, since it is larger than the sum of its proper divisors (1).

101222210121217 is an equidigital number, since it uses as much as digits as its factorization.

101222210121217 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 448, while the sum is 25.

Adding to 101222210121217 its reverse (712121012222101), we get a palindrome (813343222343318).

The spelling of 101222210121217 in words is "one hundred one trillion, two hundred twenty-two billion, two hundred ten million, one hundred twenty-one thousand, two hundred seventeen".