10121131344340 has 48 divisors (see below), whose sum is σ = 21296749505472. Its totient is φ = 4040382629376.

The previous prime is 10121131344329. The next prime is 10121131344343. The reversal of 10121131344340 is 4344313112101.

It is a junction number, because it is equal to n+sod(n) for n = 10121131344299 and 10121131344308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10121131344343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 159138027 + ... + 159201613.

It is an arithmetic number, because the mean of its divisors is an integer number (443682281364).

Almost surely, 2^{10121131344340} is an apocalyptic number.

10121131344340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10121131344340 is an abundant number, since it is smaller than the sum of its proper divisors (11175618161132).

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

10121131344340 is a wasteful number, since it uses less digits than its factorization.

10121131344340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79336 (or 79334 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 10121131344340 its reverse (4344313112101), we get a palindrome (14465444456441).

The spelling of 10121131344340 in words is "ten trillion, one hundred twenty-one billion, one hundred thirty-one million, three hundred forty-four thousand, three hundred forty".