101322414400 has 168 divisors, whose sum is σ = 255809252160. Its totient is φ = 39476736000.

The previous prime is 101322414343. The next prime is 101322414437. The reversal of 101322414400 is 4414223101.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76816941 + ... + 76818259.

It is an arithmetic number, because the mean of its divisors is an integer number (1522674120).

Almost surely, 2^101322414400 is an apocalyptic number.

101322414400 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 101322414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127904626080).

101322414400 is an abundant number, since it is smaller than the sum of its proper divisors (154486837760).

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

101322414400 is a wasteful number, since it uses less digits than its factorization.

101322414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2553 (or 2538 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 101322414400 its reverse (4414223101), we get a palindrome (105736637501).

The spelling of 101322414400 in words is "one hundred one billion, three hundred twenty-two million, four hundred fourteen thousand, four hundred".