101443021202440 has 128 divisors (see below), whose sum is σ = 245329874202240. Its totient is φ = 37612681261056.

The previous prime is 101443021202363. The next prime is 101443021202477. The reversal of 101443021202440 is 44202120344101.

It is a super-3 number, since 3×101443021202440³ (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101443021202399 and 101443021202408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 226984482 + ... + 227430958.

It is an arithmetic number, because the mean of its divisors is an integer number (1916639642205).

Almost surely, 2^{101443021202440} is an apocalyptic number.

101443021202440 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 101443021202440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122664937101120).

101443021202440 is an abundant number, since it is smaller than the sum of its proper divisors (143886852999800).

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

101443021202440 is a wasteful number, since it uses less digits than its factorization.

101443021202440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451559 (or 451555 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 101443021202440 its reverse (44202120344101), we get a palindrome (145645141546541).

The spelling of 101443021202440 in words is "one hundred one trillion, four hundred forty-three billion, twenty-one million, two hundred two thousand, four hundred forty".