202122010000020 has 192 divisors, whose sum is σ = 617778437068800. Its totient is φ = 48968523901440.

The previous prime is 202122009999977. The next prime is 202122010000087. The reversal of 202122010000020 is 20000010221202.

202122010000020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×202122010000020³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 202122009999960 and 202122010000005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16678103521 + ... + 16678115639.

It is an arithmetic number, because the mean of its divisors is an integer number (3217596026400).

Almost surely, 2^{202122010000020} is an apocalyptic number.

202122010000020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202122010000020 is an abundant number, since it is smaller than the sum of its proper divisors (415656427068780).

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

202122010000020 is a wasteful number, since it uses less digits than its factorization.

202122010000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25918 (or 25916 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 202122010000020 its reverse (20000010221202), we get a palindrome (222122020221222).

The spelling of 202122010000020 in words is "two hundred two trillion, one hundred twenty-two billion, ten million, twenty", and thus it is an aban number.