201090100 has 18 divisors (see below), whose sum is σ = 436365734. Its totient is φ = 80436000.

The previous prime is 201090083. The next prime is 201090103. The reversal of 201090100 is 1090102.

It can be written as a sum of positive squares in 3 ways, for example, as 52591504 + 148498596 = 7252^2 + 12186^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201090103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1005351 + ... + 1005550.

Almost surely, 2^201090100 is an apocalyptic number.

201090100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201090100 is an abundant number, since it is smaller than the sum of its proper divisors (235275634).

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

201090100 is a wasteful number, since it uses less digits than its factorization.

201090100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2010915 (or 2010908 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

The square root of 201090100 is about 14180.6241047424. The cubic root of 201090100 is about 585.8641136772.

The spelling of 201090100 in words is "two hundred one million, ninety thousand, one hundred".