101022221202209 has 2 divisors, whose sum is σ = 101022221202210. Its totient is φ = 101022221202208.

The previous prime is 101022221202121. The next prime is 101022221202223. The reversal of 101022221202209 is 902202122220101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 89910978979600 + 11111242222609 = 9482140^2 + 3333353^2 .

It is an emirp because it is prime and its reverse (902202122220101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101022221202209 - 2¹⁶ = 101022221136673 is a prime.

It is a super-2 number, since 2×101022221202209² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101022221202709) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50511110601104 + 50511110601105.

It is an arithmetic number, because the mean of its divisors is an integer number (50511110601105).

Almost surely, 2^{101022221202209} is an apocalyptic number.

It is an amenable number.

101022221202209 is a deficient number, since it is larger than the sum of its proper divisors (1).

101022221202209 is an equidigital number, since it uses as much as digits as its factorization.

101022221202209 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1152, while the sum is 26.

The spelling of 101022221202209 in words is "one hundred one trillion, twenty-two billion, two hundred twenty-one million, two hundred two thousand, two hundred nine".