101222001202117 has 2 divisors, whose sum is σ = 101222001202118. Its totient is φ = 101222001202116.

The previous prime is 101222001202097. The next prime is 101222001202129. The reversal of 101222001202117 is 711202100222101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 76128574078561 + 25093427123556 = 8725169^2 + 5009334^2 .

It is a cyclic number.

It is not a de Polignac number, because 101222001202117 - 2¹¹ = 101222001200069 is a prime.

It is a super-2 number, since 2×101222001202117² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101222001208117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50611000601058 + 50611000601059.

It is an arithmetic number, because the mean of its divisors is an integer number (50611000601059).

Almost surely, 2^{101222001202117} is an apocalyptic number.

It is an amenable number.

101222001202117 is a deficient number, since it is larger than the sum of its proper divisors (1).

101222001202117 is an equidigital number, since it uses as much as digits as its factorization.

101222001202117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 224, while the sum is 22.

Adding to 101222001202117 its reverse (711202100222101), we get a palindrome (812424101424218).

The spelling of 101222001202117 in words is "one hundred one trillion, two hundred twenty-two billion, one million, two hundred two thousand, one hundred seventeen".