101340343100 has 144 divisors (see below), whose sum is σ = 226382385600. Its totient is φ = 39363840000.

The previous prime is 101340343099. The next prime is 101340343121. The reversal of 101340343100 is 1343043101.

It is a super-3 number, since 3×101340343100³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 247775696 + ... + 247776104.

It is an arithmetic number, because the mean of its divisors is an integer number (1572099900).

Almost surely, 2^101340343100 is an apocalyptic number.

101340343100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101340343100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113191192800).

101340343100 is an abundant number, since it is smaller than the sum of its proper divisors (125042042500).

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

101340343100 is a wasteful number, since it uses less digits than its factorization.

101340343100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 904 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 101340343100 its reverse (1343043101), we get a palindrome (102683386201).

The spelling of 101340343100 in words is "one hundred one billion, three hundred forty million, three hundred forty-three thousand, one hundred".