10132121424340 has 12 divisors (see below), whose sum is σ = 21277454991156. Its totient is φ = 4052848569728.

The previous prime is 10132121424329. The next prime is 10132121424371. The reversal of 10132121424340 is 4342412123101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 6680953240516 + 3451168183824 = 2584754^2 + 1857732^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10132121424299 and 10132121424308.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 253303035589 + ... + 253303035628.

It is an arithmetic number, because the mean of its divisors is an integer number (1773121249263).

Almost surely, 2^{10132121424340} is an apocalyptic number.

10132121424340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10132121424340 is an abundant number, since it is smaller than the sum of its proper divisors (11145333566816).

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

10132121424340 is a wasteful number, since it uses less digits than its factorization.

10132121424340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506606071226 (or 506606071224 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 10132121424340 its reverse (4342412123101), we get a palindrome (14474533547441).

The spelling of 10132121424340 in words is "ten trillion, one hundred thirty-two billion, one hundred twenty-one million, four hundred twenty-four thousand, three hundred forty".