202121121201040 has 40 divisors (see below), whose sum is σ = 470079897570360. Its totient is φ = 80822936088576.

The previous prime is 202121121201029. The next prime is 202121121201047. The reversal of 202121121201040 is 40102121121202.

It can be written as a sum of positive squares in 4 ways, for example, as 42298529927824 + 159822591273216 = 6503732^2 + 12642096^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 202121121200999 and 202121121201017.

It is not an unprimeable number, because it can be changed into a prime (202121121201047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 398376019 + ... + 398883058.

It is an arithmetic number, because the mean of its divisors is an integer number (11751997439259).

Almost surely, 2^{202121121201040} is an apocalyptic number.

202121121201040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202121121201040 is an abundant number, since it is smaller than the sum of its proper divisors (267958776369320).

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

202121121201040 is a wasteful number, since it uses less digits than its factorization.

202121121201040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797262259 (or 797262253 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 202121121201040 its reverse (40102121121202), we get a palindrome (242223242322242).

The spelling of 202121121201040 in words is "two hundred two trillion, one hundred twenty-one billion, one hundred twenty-one million, two hundred one thousand, forty".