10102034242127 has 2 divisors, whose sum is σ = 10102034242128. Its totient is φ = 10102034242126.

The previous prime is 10102034242123. The next prime is 10102034242151. The reversal of 10102034242127 is 72124243020101.

It is a happy number.

It is a weak prime.

It is an emirp because it is prime and its reverse (72124243020101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10102034242127 - 2² = 10102034242123 is a prime.

It is a super-2 number, since 2×10102034242127² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10102034242127.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10102034242123) 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, 5051017121063 + 5051017121064.

It is an arithmetic number, because the mean of its divisors is an integer number (5051017121064).

Almost surely, 2^{10102034242127} is an apocalyptic number.

10102034242127 is a deficient number, since it is larger than the sum of its proper divisors (1).

10102034242127 is an equidigital number, since it uses as much as digits as its factorization.

10102034242127 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5376, while the sum is 29.

Adding to 10102034242127 its reverse (72124243020101), we get a palindrome (82226277262228).

The spelling of 10102034242127 in words is "ten trillion, one hundred two billion, thirty-four million, two hundred forty-two thousand, one hundred twenty-seven".