202121000 has 32 divisors (see below), whose sum is σ = 472965480. Its totient is φ = 80848000.

The previous prime is 202120979. The next prime is 202121053. The reversal of 202121000 is 121202.

It can be written as a sum of positive squares in 4 ways, for example, as 108534724 + 93586276 = 10418^2 + 9674^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 100061 + ... + 102060.

Almost surely, 2^202121000 is an apocalyptic number.

202121000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202121000 is an abundant number, since it is smaller than the sum of its proper divisors (270844480).

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

202121000 is a wasteful number, since it uses less digits than its factorization.

202121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202142 (or 202128 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 202121000 is about 14216.9265314272. The cubic root of 202121000 is about 586.8635631001.

Adding to 202121000 its reverse (121202), we get a palindrome (202242202).

It can be divided in two parts, 20212 and 1000, that added together give a palindrome (21212).

The spelling of 202121000 in words is "two hundred two million, one hundred twenty-one thousand".