10144101201234 has 512 divisors, whose sum is σ = 28459584921600. Its totient is φ = 2325056348160.

The previous prime is 10144101201209. The next prime is 10144101201251. The reversal of 10144101201234 is 43210210144101.

It is a happy number.

It is a Curzon 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 255 ways as a sum of consecutive naturals, for example, 11184234609 + ... + 11184235515.

It is an arithmetic number, because the mean of its divisors is an integer number (55585126800).

Almost surely, 2^{10144101201234} is an apocalyptic number.

10144101201234 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10144101201234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14229792460800).

10144101201234 is an abundant number, since it is smaller than the sum of its proper divisors (18315483720366).

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

10144101201234 is a wasteful number, since it uses less digits than its factorization.

10144101201234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1538.

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 10144101201234 its reverse (43210210144101), we get a palindrome (53354311345335).

The spelling of 10144101201234 in words is "ten trillion, one hundred forty-four billion, one hundred one million, two hundred one thousand, two hundred thirty-four".