100144214120000 has 560 divisors, whose sum is σ = 265115519877120. Its totient is φ = 37458720000000.

The previous prime is 100144214119973. The next prime is 100144214120033. The reversal of 100144214120000 is 21412441001.

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

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 79 ways as a sum of consecutive naturals, for example, 4604109125 + ... + 4604130875.

Almost surely, 2^{100144214120000} is an apocalyptic number.

100144214120000 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 100144214120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132557759938560).

100144214120000 is an abundant number, since it is smaller than the sum of its proper divisors (164971305757120).

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

100144214120000 is an equidigital number, since it uses as much as digits as its factorization.

100144214120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21940 (or 21915 counting only the distinct ones).

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

Adding to 100144214120000 its reverse (21412441001), we get a palindrome (100165626561001).

The spelling of 100144214120000 in words is "one hundred trillion, one hundred forty-four billion, two hundred fourteen million, one hundred twenty thousand".