202141121142340 has 24 divisors (see below), whose sum is σ = 432505719578520. Its totient is φ = 79330855089408.

The previous prime is 202141121142253. The next prime is 202141121142403. The reversal of 202141121142340 is 43241121141202.

It can be written as a sum of positive squares in 4 ways, for example, as 86999980354884 + 115141140787456 = 9327378^2 + 10730384^2 .

It is a super-2 number, since 2×202141121142340² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 202141121142299 and 202141121142308.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 95349584385 + ... + 95349586504.

It is an arithmetic number, because the mean of its divisors is an integer number (18021071649105).

Almost surely, 2^{202141121142340} is an apocalyptic number.

202141121142340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202141121142340 is an abundant number, since it is smaller than the sum of its proper divisors (230364598436180).

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

202141121142340 is a wasteful number, since it uses less digits than its factorization.

202141121142340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190699170951 (or 190699170949 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

Adding to 202141121142340 its reverse (43241121141202), we get a palindrome (245382242283542).

The spelling of 202141121142340 in words is "two hundred two trillion, one hundred forty-one billion, one hundred twenty-one million, one hundred forty-two thousand, three hundred forty".