2001012100 has 36 divisors (see below), whose sum is σ = 4369887844. Its totient is φ = 795300480.

The previous prime is 2001012077. The next prime is 2001012103. The reversal of 2001012100 is 12101002.

It can be written as a sum of positive squares in 6 ways, for example, as 38167684 + 1962844416 = 6178^2 + 44304^2 .

It is not an unprimeable number, because it can be changed into a prime (2001012103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48027 + ... + 79426.

Almost surely, 2^2001012100 is an apocalyptic number.

2001012100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001012100 is an abundant number, since it is smaller than the sum of its proper divisors (2368875744).

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

2001012100 is a wasteful number, since it uses less digits than its factorization.

2001012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127624 (or 127617 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 2001012100 is about 44732.6737407904. The cubic root of 2001012100 is about 1260.1335417375.

Adding to 2001012100 its reverse (12101002), we get a palindrome (2013113102).

The spelling of 2001012100 in words is "two billion, one million, twelve thousand, one hundred".