10100122012093 has 2 divisors, whose sum is σ = 10100122012094. Its totient is φ = 10100122012092.

The previous prime is 10100122012073. The next prime is 10100122012129. The reversal of 10100122012093 is 39021022100101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9438824519289 + 661297492804 = 3072267^2 + 813202^2 .

It is an emirp because it is prime and its reverse (39021022100101) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10100122012093 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10100122012003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050061006046 + 5050061006047.

It is an arithmetic number, because the mean of its divisors is an integer number (5050061006047).

Almost surely, 2^{10100122012093} is an apocalyptic number.

It is an amenable number.

10100122012093 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100122012093 is an equidigital number, since it uses as much as digits as its factorization.

10100122012093 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216, while the sum is 22.

Adding to 10100122012093 its reverse (39021022100101), we get a palindrome (49121144112194).

The spelling of 10100122012093 in words is "ten trillion, one hundred billion, one hundred twenty-two million, twelve thousand, ninety-three".