10101100010093 has 2 divisors, whose sum is σ = 10101100010094. Its totient is φ = 10101100010092.

The previous prime is 10101100010083. The next prime is 10101100010207. The reversal of 10101100010093 is 39001000110101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8030071052644 + 2071028957449 = 2833738^2 + 1439107^2 .

It is a cyclic number.

It is not a de Polignac number, because 10101100010093 - 2¹⁴ = 10101099993709 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10101100010083) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050550005046 + 5050550005047.

It is an arithmetic number, because the mean of its divisors is an integer number (5050550005047).

Almost surely, 2^{10101100010093} is an apocalyptic number.

It is an amenable number.

10101100010093 is a deficient number, since it is larger than the sum of its proper divisors (1).

10101100010093 is an equidigital number, since it uses as much as digits as its factorization.

10101100010093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27, while the sum is 17.

Adding to 10101100010093 its reverse (39001000110101), we get a palindrome (49102100120194).

The spelling of 10101100010093 in words is "ten trillion, one hundred one billion, one hundred million, ten thousand, ninety-three".