100121322400 has 72 divisors (see below), whose sum is σ = 266641308864. Its totient is φ = 36407750400.

The previous prime is 100121322391. The next prime is 100121322443. The reversal of 100121322400 is 4223121001.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5679912 + ... + 5697511.

It is an arithmetic number, because the mean of its divisors is an integer number (3703351512).

Almost surely, 2^100121322400 is an apocalyptic number.

100121322400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100121322400 is an abundant number, since it is smaller than the sum of its proper divisors (166519986464).

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

100121322400 is a wasteful number, since it uses less digits than its factorization.

100121322400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11377454 (or 11377441 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 100121322400 its reverse (4223121001), we get a palindrome (104344443401).

The spelling of 100121322400 in words is "one hundred billion, one hundred twenty-one million, three hundred twenty-two thousand, four hundred".