102127131 has 24 divisors (see below), whose sum is σ = 151076016. Its totient is φ = 66456000.

The previous prime is 102127097. The next prime is 102127139. The reversal of 102127131 is 131721201.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-102127131 is a prime.

It is a super-2 number, since 2×102127131² = 20859901772582322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102127139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 119301 + ... + 120153.

It is an arithmetic number, because the mean of its divisors is an integer number (6294834).

Almost surely, 2^102127131 is an apocalyptic number.

102127131 is a deficient number, since it is larger than the sum of its proper divisors (48948885).

102127131 is a wasteful number, since it uses less digits than its factorization.

102127131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1163 (or 1160 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 102127131 is about 10105.7969007892. The cubic root of 102127131 is about 467.4269091792.

Adding to 102127131 its reverse (131721201), we get a palindrome (233848332).

The spelling of 102127131 in words is "one hundred two million, one hundred twenty-seven thousand, one hundred thirty-one".