100121423232400 has 240 divisors, whose sum is σ = 244436308200000. Its totient is φ = 39404851200000.

The previous prime is 100121423232371. The next prime is 100121423232421. The reversal of 100121423232400 is 4232324121001.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11160559915 + ... + 11160568885.

It is an arithmetic number, because the mean of its divisors is an integer number (1018484617500).

Almost surely, 2^{100121423232400} is an apocalyptic number.

100121423232400 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 100121423232400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122218154100000).

100121423232400 is an abundant number, since it is smaller than the sum of its proper divisors (144314884967600).

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

100121423232400 is a wasteful number, since it uses less digits than its factorization.

100121423232400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10578 (or 10567 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 100121423232400 its reverse (4232324121001), we get a palindrome (104353747353401).

The spelling of 100121423232400 in words is "one hundred trillion, one hundred twenty-one billion, four hundred twenty-three million, two hundred thirty-two thousand, four hundred".