101243443410400 has 216 divisors, whose sum is σ = 262583879790456. Its totient is φ = 38110934016000.

The previous prime is 101243443410397. The next prime is 101243443410419. The reversal of 101243443410400 is 4014344342101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2743631950 + ... + 2743668850.

It is an arithmetic number, because the mean of its divisors is an integer number (1215666110141).

Almost surely, 2^{101243443410400} is an apocalyptic number.

101243443410400 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 101243443410400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131291939895228).

101243443410400 is an abundant number, since it is smaller than the sum of its proper divisors (161340436380056).

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

101243443410400 is a wasteful number, since it uses less digits than its factorization.

101243443410400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48822 (or 48792 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

Adding to 101243443410400 its reverse (4014344342101), we get a palindrome (105257787752501).

The spelling of 101243443410400 in words is "one hundred one trillion, two hundred forty-three billion, four hundred forty-three million, four hundred ten thousand, four hundred".