10102102132127 has 2 divisors, whose sum is σ = 10102102132128. Its totient is φ = 10102102132126.

The previous prime is 10102102132117. The next prime is 10102102132141. The reversal of 10102102132127 is 72123120120101.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 10102102132127 - 2²⁶ = 10102035023263 is a prime.

It is a super-3 number, since 3×10102102132127³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10102102132117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5051051066063 + 5051051066064.

It is an arithmetic number, because the mean of its divisors is an integer number (5051051066064).

Almost surely, 2^{10102102132127} is an apocalyptic number.

10102102132127 is a deficient number, since it is larger than the sum of its proper divisors (1).

10102102132127 is an equidigital number, since it uses as much as digits as its factorization.

10102102132127 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 336, while the sum is 23.

Adding to 10102102132127 its reverse (72123120120101), we get a palindrome (82225222252228).

The spelling of 10102102132127 in words is "ten trillion, one hundred two billion, one hundred two million, one hundred thirty-two thousand, one hundred twenty-seven".