101100110020193 has 2 divisors, whose sum is σ = 101100110020194. Its totient is φ = 101100110020192.

The previous prime is 101100110020159. The next prime is 101100110020207. The reversal of 101100110020193 is 391020011001101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 91478742060304 + 9621367959889 = 9564452^2 + 3101833^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101100110020193 is a prime.

It is not a weakly prime, because it can be changed into another prime (101100110020123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50550055010096 + 50550055010097.

It is an arithmetic number, because the mean of its divisors is an integer number (50550055010097).

Almost surely, 2^{101100110020193} is an apocalyptic number.

It is an amenable number.

101100110020193 is a deficient number, since it is larger than the sum of its proper divisors (1).

101100110020193 is an equidigital number, since it uses as much as digits as its factorization.

101100110020193 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 54, while the sum is 20.

Adding to 101100110020193 its reverse (391020011001101), we get a palindrome (492120121021294).

The spelling of 101100110020193 in words is "one hundred one trillion, one hundred billion, one hundred ten million, twenty thousand, one hundred ninety-three".