101011022100193 has 2 divisors, whose sum is σ = 101011022100194. Its totient is φ = 101011022100192.

The previous prime is 101011022100187. The next prime is 101011022100217. The reversal of 101011022100193 is 391001220110101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99855812012944 + 1155210087249 = 9992788^2 + 1074807^2 .

It is a cyclic number.

It is not a de Polignac number, because 101011022100193 - 2⁴⁵ = 65826650011361 is a prime.

It is not a weakly prime, because it can be changed into another prime (101011022100113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50505511050096 + 50505511050097.

It is an arithmetic number, because the mean of its divisors is an integer number (50505511050097).

Almost surely, 2^{101011022100193} is an apocalyptic number.

It is an amenable number.

101011022100193 is a deficient number, since it is larger than the sum of its proper divisors (1).

101011022100193 is an equidigital number, since it uses as much as digits as its factorization.

101011022100193 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108, while the sum is 22.

Adding to 101011022100193 its reverse (391001220110101), we get a palindrome (492012242210294).

The spelling of 101011022100193 in words is "one hundred one trillion, eleven billion, twenty-two million, one hundred thousand, one hundred ninety-three".