201021300100 has 36 divisors (see below), whose sum is σ = 436266803700. Its totient is φ = 80399196160.

The previous prime is 201021300083. The next prime is 201021300119. The reversal of 201021300100 is 1003120102.

201021300100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 9805752576 + 191215547524 = 99024^2 + 437282^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 784836 + ... + 1008964.

It is an arithmetic number, because the mean of its divisors is an integer number (12118522325).

Almost surely, 2^201021300100 is an apocalyptic number.

201021300100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201021300100 is an abundant number, since it is smaller than the sum of its proper divisors (235245503600).

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

201021300100 is a wasteful number, since it uses less digits than its factorization.

201021300100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233112 (or 233105 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 201021300100 its reverse (1003120102), we get a palindrome (202024420202).

The spelling of 201021300100 in words is "two hundred one billion, twenty-one million, three hundred thousand, one hundred".