101444113300 has 72 divisors (see below), whose sum is σ = 223048501760. Its totient is φ = 40040956800.

The previous prime is 101444113291. The next prime is 101444113319. The reversal of 101444113300 is 3311444101.

It is a happy number.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 22094005 + ... + 22098595.

Almost surely, 2^101444113300 is an apocalyptic number.

101444113300 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 101444113300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111524250880).

101444113300 is an abundant number, since it is smaller than the sum of its proper divisors (121604388460).

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

101444113300 is a wasteful number, since it uses less digits than its factorization.

101444113300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7481 (or 7474 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 101444113300 its reverse (3311444101), we get a palindrome (104755557401).

The spelling of 101444113300 in words is "one hundred one billion, four hundred forty-four million, one hundred thirteen thousand, three hundred".