103121204040008 has 384 divisors, whose sum is σ = 261049337671680. Its totient is φ = 36972250613760.

The previous prime is 103121204040007. The next prime is 103121204040119. The reversal of 103121204040008 is 800040402121301.

It is not an unprimeable number, because it can be changed into a prime (103121204040007) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 35231021441 + ... + 35231024367.

It is an arithmetic number, because the mean of its divisors is an integer number (679815983520).

Almost surely, 2^{103121204040008} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103121204040008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130524668835840).

103121204040008 is an abundant number, since it is smaller than the sum of its proper divisors (157928133631672).

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

103121204040008 is a wasteful number, since it uses less digits than its factorization.

103121204040008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4585 (or 4534 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

Adding to 103121204040008 its reverse (800040402121301), we get a palindrome (903161606161309).

The spelling of 103121204040008 in words is "one hundred three trillion, one hundred twenty-one billion, two hundred four million, forty thousand, eight".