102132114340 has 12 divisors (see below), whose sum is σ = 214477440156. Its totient is φ = 40852845728.

The previous prime is 102132114313. The next prime is 102132114367. The reversal of 102132114340 is 43411231201.

It is an interprime number because it is at equal distance from previous prime (102132114313) and next prime (102132114367).

It can be written as a sum of positive squares in 2 ways, for example, as 16076718436 + 86055395904 = 126794^2 + 293352^2 .

It is an unprimeable number.

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 in 3 ways as a sum of consecutive naturals, for example, 2553302839 + ... + 2553302878.

It is an arithmetic number, because the mean of its divisors is an integer number (17873120013).

Almost surely, 2^102132114340 is an apocalyptic number.

102132114340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102132114340 is an abundant number, since it is smaller than the sum of its proper divisors (112345325816).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102132114340 is a wasteful number, since it uses less digits than its factorization.

102132114340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5106605726 (or 5106605724 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 102132114340 its reverse (43411231201), we get a palindrome (145543345541).

The spelling of 102132114340 in words is "one hundred two billion, one hundred thirty-two million, one hundred fourteen thousand, three hundred forty".