101100020000093 has 2 divisors, whose sum is σ = 101100020000094. Its totient is φ = 101100020000092.

The previous prime is 101100020000039. The next prime is 101100020000137. The reversal of 101100020000093 is 390000020001101.

It is a happy number.

Together with previous prime (101100020000039) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 65705647233604 + 35394372766489 = 8105902^2 + 5949317^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101100020000093 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101100020003093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50550010000046 + 50550010000047.

It is an arithmetic number, because the mean of its divisors is an integer number (50550010000047).

Almost surely, 2^{101100020000093} is an apocalyptic number.

It is an amenable number.

101100020000093 is a deficient number, since it is larger than the sum of its proper divisors (1).

101100020000093 is an equidigital number, since it uses as much as digits as its factorization.

101100020000093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 101100020000093 its reverse (390000020001101), we get a palindrome (491100040001194).

The spelling of 101100020000093 in words is "one hundred one trillion, one hundred billion, twenty million, ninety-three", and thus it is an aban number.