104133110121400 has 96 divisors (see below), whose sum is σ = 245934375978240. Its totient is φ = 40996266917760.

The previous prime is 104133110121389. The next prime is 104133110121407. The reversal of 104133110121400 is 4121011331401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104133110121407) 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 23 ways as a sum of consecutive naturals, for example, 12243217 + ... + 18925183.

It is an arithmetic number, because the mean of its divisors is an integer number (2561816416440).

Almost surely, 2^{104133110121400} is an apocalyptic number.

104133110121400 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 104133110121400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122967187989120).

104133110121400 is an abundant number, since it is smaller than the sum of its proper divisors (141801265856840).

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

104133110121400 is a wasteful number, since it uses less digits than its factorization.

104133110121400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6683213 (or 6683204 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 104133110121400 its reverse (4121011331401), we get a palindrome (108254121452801).

The spelling of 104133110121400 in words is "one hundred four trillion, one hundred thirty-three billion, one hundred ten million, one hundred twenty-one thousand, four hundred".