144214020100100 has 72 divisors (see below), whose sum is σ = 313096105254240. Its totient is φ = 57657654731520.

The previous prime is 144214020100091. The next prime is 144214020100109. The reversal of 144214020100100 is 1001020412441.

144214020100100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (144214020100091) and next prime (144214020100109).

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

It is not an unprimeable number, because it can be changed into a prime (144214020100109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2032951832 + ... + 2033022768.

It is an arithmetic number, because the mean of its divisors is an integer number (4348557017420).

Almost surely, 2^{144214020100100} is an apocalyptic number.

144214020100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144214020100100 is an abundant number, since it is smaller than the sum of its proper divisors (168882085154140).

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

144214020100100 is a wasteful number, since it uses less digits than its factorization.

144214020100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80517 (or 80510 counting only the distinct ones).

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

Adding to 144214020100100 its reverse (1001020412441), we get a palindrome (145215040512541).

The spelling of 144214020100100 in words is "one hundred forty-four trillion, two hundred fourteen billion, twenty million, one hundred thousand, one hundred".