103121112133004 has 192 divisors, whose sum is σ = 213441409843200. Its totient is φ = 42689069280000.

The previous prime is 103121112132989. The next prime is 103121112133019. The reversal of 103121112133004 is 400331211121301.

It is an interprime number because it is at equal distance from previous prime (103121112132989) and next prime (103121112133019).

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 63 ways as a sum of consecutive naturals, for example, 7087841522 + ... + 7087856070.

It is an arithmetic number, because the mean of its divisors is an integer number (1111674009600).

Almost surely, 2^{103121112133004} is an apocalyptic number.

103121112133004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

103121112133004 is an abundant number, since it is smaller than the sum of its proper divisors (110320297710196).

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

103121112133004 is a wasteful number, since it uses less digits than its factorization.

103121112133004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15100 (or 15098 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

Adding to 103121112133004 its reverse (400331211121301), we get a palindrome (503452323254305).

The spelling of 103121112133004 in words is "one hundred three trillion, one hundred twenty-one billion, one hundred twelve million, one hundred thirty-three thousand, four".