10121143342440 has 64 divisors (see below), whose sum is σ = 32699078496000. Its totient is φ = 2491358360832.

The previous prime is 10121143342379. The next prime is 10121143342451. The reversal of 10121143342440 is 4424334112101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 10121143342398 and 10121143342407.

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 15 ways as a sum of consecutive naturals, for example, 3243954640 + ... + 3243957759.

It is an arithmetic number, because the mean of its divisors is an integer number (510923101500).

Almost surely, 2^{10121143342440} is an apocalyptic number.

10121143342440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10121143342440 is an abundant number, since it is smaller than the sum of its proper divisors (22577935153560).

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

10121143342440 is a wasteful number, since it uses less digits than its factorization.

10121143342440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6487912426 (or 6487912422 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 10121143342440 its reverse (4424334112101), we get a palindrome (14545477454541).

The spelling of 10121143342440 in words is "ten trillion, one hundred twenty-one billion, one hundred forty-three million, three hundred forty-two thousand, four hundred forty".