101210443112400 has 480 divisors, whose sum is σ = 344568853324800. Its totient is φ = 25306704076800.

The previous prime is 101210443112399. The next prime is 101210443112461. The reversal of 101210443112400 is 4211344012101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17884860771 + ... + 17884866429.

It is an arithmetic number, because the mean of its divisors is an integer number (717851777760).

Almost surely, 2^{101210443112400} is an apocalyptic number.

101210443112400 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 101210443112400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172284426662400).

101210443112400 is an abundant number, since it is smaller than the sum of its proper divisors (243358410212400).

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

101210443112400 is a wasteful number, since it uses less digits than its factorization.

101210443112400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8827 (or 8816 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 101210443112400 its reverse (4211344012101), we get a palindrome (105421787124501).

The spelling of 101210443112400 in words is "one hundred one trillion, two hundred ten billion, four hundred forty-three million, one hundred twelve thousand, four hundred".