101044021440 has 224 divisors, whose sum is σ = 324420707520. Its totient is φ = 26643398656.

The previous prime is 101044021433. The next prime is 101044021499. The reversal of 101044021440 is 44120440101.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61724302 + ... + 61725938.

It is an arithmetic number, because the mean of its divisors is an integer number (1448306730).

Almost surely, 2^101044021440 is an apocalyptic number.

101044021440 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 101044021440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162210353760).

101044021440 is an abundant number, since it is smaller than the sum of its proper divisors (223376686080).

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

101044021440 is a wasteful number, since it uses less digits than its factorization.

101044021440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2339 (or 2329 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 101044021440 its reverse (44120440101), we get a palindrome (145164461541).

The spelling of 101044021440 in words is "one hundred one billion, forty-four million, twenty-one thousand, four hundred forty".