202102121000 has 128 divisors (see below), whose sum is σ = 511199488800. Its totient is φ = 74343628800.

The previous prime is 202102120973. The next prime is 202102121009. The reversal of 202102121000 is 121201202.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 54066480484 + 148035640516 = 232522^2 + 384754^2 .

It is not an unprimeable number, because it can be changed into a prime (202102121009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3468104 + ... + 3525896.

Almost surely, 2^202102121000 is an apocalyptic number.

202102121000 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 202102121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255599744400).

202102121000 is an abundant number, since it is smaller than the sum of its proper divisors (309097367800).

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

202102121000 is a wasteful number, since it uses less digits than its factorization.

202102121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58096 (or 58082 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 202102121000 its reverse (121201202), we get a palindrome (202223322202).

The spelling of 202102121000 in words is "two hundred two billion, one hundred two million, one hundred twenty-one thousand".