100144441402140 has 24 divisors (see below), whose sum is σ = 280404435926160. Its totient is φ = 26705184373888.

The previous prime is 100144441402127. The next prime is 100144441402163. The reversal of 100144441402140 is 41204144441001.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 100144441402098 and 100144441402107.

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 7 ways as a sum of consecutive naturals, for example, 834537011625 + ... + 834537011744.

It is an arithmetic number, because the mean of its divisors is an integer number (11683518163590).

Almost surely, 2^{100144441402140} is an apocalyptic number.

100144441402140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100144441402140 is an abundant number, since it is smaller than the sum of its proper divisors (180259994524020).

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

100144441402140 is a wasteful number, since it uses less digits than its factorization.

100144441402140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1669074023381 (or 1669074023379 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 30.

Adding to 100144441402140 its reverse (41204144441001), we get a palindrome (141348585843141).

The spelling of 100144441402140 in words is "one hundred trillion, one hundred forty-four billion, four hundred forty-one million, four hundred two thousand, one hundred forty".