101444411000 has 64 divisors (see below), whose sum is σ = 238326248160. Its totient is φ = 40416000000.

The previous prime is 101444410997. The next prime is 101444411011. The reversal of 101444411000 is 114444101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 15 ways as a sum of consecutive naturals, for example, 48920 + ... + 453080.

Almost surely, 2^101444411000 is an apocalyptic number.

101444411000 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 101444411000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119163124080).

101444411000 is an abundant number, since it is smaller than the sum of its proper divisors (136881837160).

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

101444411000 is a wasteful number, since it uses less digits than its factorization.

101444411000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404433 (or 404419 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 101444411000 its reverse (114444101), we get a palindrome (101558855101).

The spelling of 101444411000 in words is "one hundred one billion, four hundred forty-four million, four hundred eleven thousand".