202122100 has 36 divisors (see below), whose sum is σ = 439738348. Its totient is φ = 80640000.

The previous prime is 202122073. The next prime is 202122113. The reversal of 202122100 is 1221202.

It can be written as a sum of positive squares in 6 ways, for example, as 40018276 + 162103824 = 6326^2 + 12732^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 39700 + ... + 44500.

Almost surely, 2^202122100 is an apocalyptic number.

202122100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202122100 is an abundant number, since it is smaller than the sum of its proper divisors (237616248).

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

202122100 is a wasteful number, since it uses less digits than its factorization.

202122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5236 (or 5229 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 202122100 is about 14216.9652176546. The cubic root of 202122100 is about 586.8646277243.

Adding to 202122100 its reverse (1221202), we get a palindrome (203343302).

The spelling of 202122100 in words is "two hundred two million, one hundred twenty-two thousand, one hundred".