100243034440000 has 560 divisors, whose sum is σ = 263036687316480. Its totient is φ = 37829693440000.

The previous prime is 100243034439937. The next prime is 100243034440001. The reversal of 100243034440000 is 44430342001.

It is a super-2 number, since 2×100243034440000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100243034440001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 48032118957 + ... + 48032121043.

It is an arithmetic number, because the mean of its divisors is an integer number (469708370208).

Almost surely, 2^{100243034440000} is an apocalyptic number.

100243034440000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100243034440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131518343658240).

100243034440000 is an abundant number, since it is smaller than the sum of its proper divisors (162793652876480).

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

100243034440000 is an equidigital number, since it uses as much as digits as its factorization.

100243034440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3076 (or 3051 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 100243034440000 its reverse (44430342001), we get a palindrome (100287464782001).

The spelling of 100243034440000 in words is "one hundred trillion, two hundred forty-three billion, thirty-four million, four hundred forty thousand".