10102120211093 has 2 divisors, whose sum is σ = 10102120211094. Its totient is φ = 10102120211092.

The previous prime is 10102120210991. The next prime is 10102120211123. The reversal of 10102120211093 is 39011202120101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9079964836804 + 1022155374289 = 3013298^2 + 1011017^2 .

It is a cyclic number.

It is not a de Polignac number, because 10102120211093 - 2²⁰ = 10102119162517 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10102120217093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5051060105546 + 5051060105547.

It is an arithmetic number, because the mean of its divisors is an integer number (5051060105547).

Almost surely, 2^{10102120211093} is an apocalyptic number.

It is an amenable number.

10102120211093 is a deficient number, since it is larger than the sum of its proper divisors (1).

10102120211093 is an equidigital number, since it uses as much as digits as its factorization.

10102120211093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 23.

Adding to 10102120211093 its reverse (39011202120101), we get a palindrome (49113322331194).

The spelling of 10102120211093 in words is "ten trillion, one hundred two billion, one hundred twenty million, two hundred eleven thousand, ninety-three".