101244142314 has 144 divisors (see below), whose sum is σ = 258496699968. Its totient is φ = 28552414464.

The previous prime is 101244142301. The next prime is 101244142333. The reversal of 101244142314 is 413241442101.

101244142314 is a `hidden beast` number, since 1 + 0 + 12 + 4 + 414 + 231 + 4 = 666.

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 71 ways as a sum of consecutive naturals, for example, 30613449 + ... + 30616755.

It is an arithmetic number, because the mean of its divisors is an integer number (1795115972).

Almost surely, 2^101244142314 is an apocalyptic number.

101244142314 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 101244142314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129248349984).

101244142314 is an abundant number, since it is smaller than the sum of its proper divisors (157252557654).

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

101244142314 is a wasteful number, since it uses less digits than its factorization.

101244142314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3769 (or 3759 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 101244142314 its reverse (413241442101), we get a palindrome (514485584415).

The spelling of 101244142314 in words is "one hundred one billion, two hundred forty-four million, one hundred forty-two thousand, three hundred fourteen".