101444221400 has 96 divisors (see below), whose sum is σ = 244158591600. Its totient is φ = 39151526400.

The previous prime is 101444221349. The next prime is 101444221441. The reversal of 101444221400 is 4122444101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9814235 + ... + 9824565.

Almost surely, 2^101444221400 is an apocalyptic number.

101444221400 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 101444221400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122079295800).

101444221400 is an abundant number, since it is smaller than the sum of its proper divisors (142714370200).

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

101444221400 is a wasteful number, since it uses less digits than its factorization.

101444221400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12069 (or 12060 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

Adding to 101444221400 its reverse (4122444101), we get a palindrome (105566665501).

The spelling of 101444221400 in words is "one hundred one billion, four hundred forty-four million, two hundred twenty-one thousand, four hundred".