144122122100100 has 72 divisors (see below), whose sum is σ = 418830315206688. Its totient is φ = 38263259417600.

The previous prime is 144122122100081. The next prime is 144122122100197. The reversal of 144122122100100 is 1001221221441.

144122122100100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×144122122100100² (a number of 29 digits) contains 22 as substring.

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, 1058097261 + ... + 1058233460.

It is an arithmetic number, because the mean of its divisors is an integer number (5817087711204).

Almost surely, 2^{144122122100100} is an apocalyptic number.

144122122100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144122122100100 is an abundant number, since it is smaller than the sum of its proper divisors (274708193106588).

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

144122122100100 is a wasteful number, since it uses less digits than its factorization.

144122122100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2116330965 (or 2116330958 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 144122122100100 its reverse (1001221221441), we get a palindrome (145123343321541).

The spelling of 144122122100100 in words is "one hundred forty-four trillion, one hundred twenty-two billion, one hundred twenty-two million, one hundred thousand, one hundred".