101144113434 has 192 divisors, whose sum is σ = 272630292480. Its totient is φ = 26388633600.

The previous prime is 101144113417. The next prime is 101144113487. The reversal of 101144113434 is 434311441101.

101144113434 is a `hidden beast` number, since 1 + 0 + 114 + 4 + 113 + 434 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 101144113398 and 101144113407.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 125023222 + ... + 125024030.

It is an arithmetic number, because the mean of its divisors is an integer number (1419949440).

Almost surely, 2^101144113434 is an apocalyptic number.

101144113434 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 101144113434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136315146240).

101144113434 is an abundant number, since it is smaller than the sum of its proper divisors (171486179046).

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

101144113434 is a wasteful number, since it uses less digits than its factorization.

101144113434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1565 (or 1562 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 101144113434 its reverse (434311441101), we get a palindrome (535455554535).

The spelling of 101144113434 in words is "one hundred one billion, one hundred forty-four million, one hundred thirteen thousand, four hundred thirty-four".