10017233400000 has 168 divisors, whose sum is σ = 33127794216720. Its totient is φ = 2671262080000.

The previous prime is 10017233399983. The next prime is 10017233400017. The reversal of 10017233400000 is 433271001.

It is an interprime number because it is at equal distance from previous prime (10017233399983) and next prime (10017233400017).

It is a self number, because there is not a number n which added to its sum of digits gives 10017233400000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7747695 + ... + 8947694.

It is an arithmetic number, because the mean of its divisors is an integer number (197189251290).

Almost surely, 2^{10017233400000} is an apocalyptic number.

10017233400000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10017233400000 is an abundant number, since it is smaller than the sum of its proper divisors (23110560816720).

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

10017233400000 is an frugal number, since it uses more digits than its factorization.

10017233400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16695429 (or 16695399 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

Adding to 10017233400000 its reverse (433271001), we get a palindrome (10017666671001).

The spelling of 10017233400000 in words is "ten trillion, seventeen billion, two hundred thirty-three million, four hundred thousand".