101401322441400 has 576 divisors, whose sum is σ = 352403760028320. Its totient is φ = 26109950054400.

The previous prime is 101401322441389. The next prime is 101401322441401. The reversal of 101401322441400 is 4144223104101.

101401322441400 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 0 + 13 + 2 + 244 + 1 + 400 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101401322441401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6578940094 + ... + 6578955506.

Almost surely, 2^{101401322441400} is an apocalyptic number.

101401322441400 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 101401322441400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176201880014160).

101401322441400 is an abundant number, since it is smaller than the sum of its proper divisors (251002437586920).

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

101401322441400 is a wasteful number, since it uses less digits than its factorization.

101401322441400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16216 (or 16204 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 101401322441400 its reverse (4144223104101), we get a palindrome (105545545545501).

The spelling of 101401322441400 in words is "one hundred one trillion, four hundred one billion, three hundred twenty-two million, four hundred forty-one thousand, four hundred".