10343212313100 has 144 divisors (see below), whose sum is σ = 30893699343360. Its totient is φ = 2669045702400.

The previous prime is 10343212313039. The next prime is 10343212313129. The reversal of 10343212313100 is 131321234301.

It is a super-2 number, since 2×10343212313100² (a number of 27 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 217028874 + ... + 217076526.

Almost surely, 2^{10343212313100} is an apocalyptic number.

10343212313100 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 10343212313100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15446849671680).

10343212313100 is an abundant number, since it is smaller than the sum of its proper divisors (20550487030260).

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

10343212313100 is a wasteful number, since it uses less digits than its factorization.

10343212313100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71040 (or 71033 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 10343212313100 its reverse (131321234301), we get a palindrome (10474533547401).

The spelling of 10343212313100 in words is "ten trillion, three hundred forty-three billion, two hundred twelve million, three hundred thirteen thousand, one hundred".