101256314334 has 64 divisors (see below), whose sum is σ = 239829258240. Its totient is φ = 27885473280.

The previous prime is 101256314321. The next prime is 101256314347. The reversal of 101256314334 is 433413652101.

It is an interprime number because it is at equal distance from previous prime (101256314321) and next prime (101256314347).

It is a junction number, because it is equal to n+sod(n) for n = 101256314295 and 101256314304.

It is a congruent 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 31 ways as a sum of consecutive naturals, for example, 652179 + ... + 792369.

It is an arithmetic number, because the mean of its divisors is an integer number (3747332160).

Almost surely, 2^101256314334 is an apocalyptic number.

101256314334 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 101256314334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119914629120).

101256314334 is an abundant number, since it is smaller than the sum of its proper divisors (138572943906).

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

101256314334 is a wasteful number, since it uses less digits than its factorization.

101256314334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140825.

The product of its (nonzero) digits is 25920, while the sum is 33.

Adding to 101256314334 its reverse (433413652101), we get a palindrome (534669966435).

The spelling of 101256314334 in words is "one hundred one billion, two hundred fifty-six million, three hundred fourteen thousand, three hundred thirty-four".