202121400 has 96 divisors (see below), whose sum is σ = 674800560. Its totient is φ = 49751040.

The previous prime is 202121399. The next prime is 202121407. The reversal of 202121400 is 4121202.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202121407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5157 + ... + 20756.

Almost surely, 2^202121400 is an apocalyptic number.

202121400 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 202121400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337400280).

202121400 is an abundant number, since it is smaller than the sum of its proper divisors (472679160).

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

202121400 is a wasteful number, since it uses less digits than its factorization.

202121400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25945 (or 25936 counting only the distinct ones).

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

The square root of 202121400 is about 14216.9405991585. The cubic root of 202121400 is about 586.8639502366.

Adding to 202121400 its reverse (4121202), we get a palindrome (206242602).

It can be divided in two parts, 20212 and 1400, that added together give a palindrome (21612).

The spelling of 202121400 in words is "two hundred two million, one hundred twenty-one thousand, four hundred".