101012021022193 has 2 divisors, whose sum is σ = 101012021022194. Its totient is φ = 101012021022192.

The previous prime is 101012021022113. The next prime is 101012021022217. The reversal of 101012021022193 is 391220120210101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 78900884768689 + 22111136253504 = 8882617^2 + 4702248^2 .

It is a cyclic number.

It is not a de Polignac number, because 101012021022193 - 2³⁷ = 100874582068721 is a prime.

It is not a weakly prime, because it can be changed into another prime (101012021022113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50506010511096 + 50506010511097.

It is an arithmetic number, because the mean of its divisors is an integer number (50506010511097).

Almost surely, 2^{101012021022193} is an apocalyptic number.

It is an amenable number.

101012021022193 is a deficient number, since it is larger than the sum of its proper divisors (1).

101012021022193 is an equidigital number, since it uses as much as digits as its factorization.

101012021022193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 25.

Adding to 101012021022193 its reverse (391220120210101), we get a palindrome (492232141232294).

The spelling of 101012021022193 in words is "one hundred one trillion, twelve billion, twenty-one million, twenty-two thousand, one hundred ninety-three".