101144414034 has 48 divisors (see below), whose sum is σ = 221843591424. Its totient is φ = 33300036000.

The previous prime is 101144414017. The next prime is 101144414057. The reversal of 101144414034 is 430414441101.

101144414034 is a `hidden beast` number, since 101 + 144 + 414 + 0 + 3 + 4 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101144413989 and 101144414007.

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, 8750559 + ... + 8762109.

It is an arithmetic number, because the mean of its divisors is an integer number (4621741488).

Almost surely, 2^101144414034 is an apocalyptic number.

101144414034 is an abundant number, since it is smaller than the sum of its proper divisors (120699177390).

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

101144414034 is a wasteful number, since it uses less digits than its factorization.

101144414034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17503 (or 17500 counting only the distinct ones).

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

Adding to 101144414034 its reverse (430414441101), we get a palindrome (531558855135).

The spelling of 101144414034 in words is "one hundred one billion, one hundred forty-four million, four hundred fourteen thousand, thirty-four".