202140100 has 36 divisors (see below), whose sum is σ = 457720704. Its totient is φ = 77339680.

The previous prime is 202140097. The next prime is 202140101. The reversal of 202140100 is 1041202.

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

It is not an unprimeable number, because it can be changed into a prime (202140101) by changing a digit.

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, 41644 + ... + 46243.

It is an arithmetic number, because the mean of its divisors is an integer number (12714464).

Almost surely, 2^202140100 is an apocalyptic number.

202140100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202140100 is an abundant number, since it is smaller than the sum of its proper divisors (255580604).

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

202140100 is a wasteful number, since it uses less digits than its factorization.

202140100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87924 (or 87917 counting only the distinct ones).

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

The square root of 202140100 is about 14217.5982500562. The cubic root of 202140100 is about 586.8820482995.

Adding to 202140100 its reverse (1041202), we get a palindrome (203181302).

The spelling of 202140100 in words is "two hundred two million, one hundred forty thousand, one hundred".