101022202202113 has 2 divisors, whose sum is σ = 101022202202114. Its totient is φ = 101022202202112.

The previous prime is 101022202202059. The next prime is 101022202202123. The reversal of 101022202202113 is 311202202220101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 64507048330384 + 36515153871729 = 8031628^2 + 6042777^2 .

It is a cyclic number.

It is not a de Polignac number, because 101022202202113 - 2¹³ = 101022202193921 is a prime.

It is not a weakly prime, because it can be changed into another prime (101022202202123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50511101101056 + 50511101101057.

It is an arithmetic number, because the mean of its divisors is an integer number (50511101101057).

Almost surely, 2^{101022202202113} is an apocalyptic number.

It is an amenable number.

101022202202113 is a deficient number, since it is larger than the sum of its proper divisors (1).

101022202202113 is an equidigital number, since it uses as much as digits as its factorization.

101022202202113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 101022202202113 its reverse (311202202220101), we get a palindrome (412224404422214).

The spelling of 101022202202113 in words is "one hundred one trillion, twenty-two billion, two hundred two million, two hundred two thousand, one hundred thirteen".