10211341424312 has 128 divisors (see below), whose sum is σ = 23129618688000. Its totient is φ = 4133330073600.

The previous prime is 10211341424267. The next prime is 10211341424329. The reversal of 10211341424312 is 21342414311201.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 151019312 + ... + 151086912.

It is an arithmetic number, because the mean of its divisors is an integer number (180700146000).

Almost surely, 2^{10211341424312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10211341424312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11564809344000).

10211341424312 is an abundant number, since it is smaller than the sum of its proper divisors (12918277263688).

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

10211341424312 is a wasteful number, since it uses less digits than its factorization.

10211341424312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69669 (or 69665 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

Adding to 10211341424312 its reverse (21342414311201), we get a palindrome (31553755735513).

The spelling of 10211341424312 in words is "ten trillion, two hundred eleven billion, three hundred forty-one million, four hundred twenty-four thousand, three hundred twelve".