202122121000 has 128 divisors (see below), whose sum is σ = 477523537920. Its totient is φ = 80073600000.

The previous prime is 202122120983. The next prime is 202122121009. The reversal of 202122121000 is 121221202.

It is a happy number.

202122121000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (202122121009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46028805 + ... + 46033195.

It is an arithmetic number, because the mean of its divisors is an integer number (3730652640).

Almost surely, 2^202122121000 is an apocalyptic number.

202122121000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202122121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238761768960).

202122121000 is an abundant number, since it is smaller than the sum of its proper divisors (275401416920).

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

202122121000 is a wasteful number, since it uses less digits than its factorization.

202122121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4844 (or 4830 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 202122121000 its reverse (121221202), we get a palindrome (202243342202).

The spelling of 202122121000 in words is "two hundred two billion, one hundred twenty-two million, one hundred twenty-one thousand".