10101201121093 has 2 divisors, whose sum is σ = 10101201121094. Its totient is φ = 10101201121092.

The previous prime is 10101201121057. The next prime is 10101201121127. The reversal of 10101201121093 is 39012110210101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9899593835044 + 201607286049 = 3146362^2 + 449007^2 .

It is a cyclic number.

It is not a de Polignac number, because 10101201121093 - 2¹³ = 10101201112901 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10101201121003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050600560546 + 5050600560547.

It is an arithmetic number, because the mean of its divisors is an integer number (5050600560547).

Almost surely, 2^{10101201121093} is an apocalyptic number.

It is an amenable number.

10101201121093 is a deficient number, since it is larger than the sum of its proper divisors (1).

10101201121093 is an equidigital number, since it uses as much as digits as its factorization.

10101201121093 is an odious number, because the sum of its binary digits is odd.

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

Adding to 10101201121093 its reverse (39012110210101), we get a palindrome (49113311331194).

The spelling of 10101201121093 in words is "ten trillion, one hundred one billion, two hundred one million, one hundred twenty-one thousand, ninety-three".