202041260100 has 81 divisors (see below), whose sum is σ = 633329375133. Its totient is φ = 53874073440.

The previous prime is 202041260081. The next prime is 202041260101. The reversal of 202041260100 is 1062140202.

The square root of 202041260100 is 449490.

It is a perfect power (a square), and thus also a powerful number.

202041260100 is a `hidden beast` number, since 2 + 0 + 20 + 41 + 2 + 601 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 72734853636 + 129306406464 = 269694^2 + 359592^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (202041260101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 13477209 + ... + 13492191.

Almost surely, 2^202041260100 is an apocalyptic number.

202041260100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

202041260100 is the 449490-th square number.

It is an amenable number.

202041260100 is an abundant number, since it is smaller than the sum of its proper divisors (431288115033).

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

202041260100 is an equidigital number, since it uses as much as digits as its factorization.

202041260100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29986 (or 14993 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The spelling of 202041260100 in words is "two hundred two billion, forty-one million, two hundred sixty thousand, one hundred".