101200012122343 has 8 divisors (see below), whose sum is σ = 102202227794880. Its totient is φ = 100197801064800.

The previous prime is 101200012122331. The next prime is 101200012122353. The reversal of 101200012122343 is 343221210002101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101200012122343 - 2²⁹ = 101199475251431 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101200012122353) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 57724321 + ... + 59451637.

It is an arithmetic number, because the mean of its divisors is an integer number (12775278474360).

Almost surely, 2^{101200012122343} is an apocalyptic number.

101200012122343 is a deficient number, since it is larger than the sum of its proper divisors (1002215672537).

101200012122343 is a wasteful number, since it uses less digits than its factorization.

101200012122343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2307497.

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 101200012122343 its reverse (343221210002101), we get a palindrome (444421222124444).

The spelling of 101200012122343 in words is "one hundred one trillion, two hundred billion, twelve million, one hundred twenty-two thousand, three hundred forty-three".