202001100 has 144 divisors (see below), whose sum is σ = 683789568. Its totient is φ = 45077760.

The previous prime is 202001099. The next prime is 202001113. The reversal of 202001100 is 1100202.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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 47 ways as a sum of consecutive naturals, for example, 89182 + ... + 91418.

Almost surely, 2^202001100 is an apocalyptic number.

202001100 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 202001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341894784).

202001100 is an abundant number, since it is smaller than the sum of its proper divisors (481788468).

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

202001100 is a wasteful number, since it uses less digits than its factorization.

202001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2304 (or 2297 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 202001100 is about 14212.7091013642. The cubic root of 202001100 is about 586.7474958936.

Adding to 202001100 its reverse (1100202), we get a palindrome (203101302).

The spelling of 202001100 in words is "two hundred two million, one thousand, one hundred".