2012100100 has 36 divisors (see below), whose sum is σ = 4411291444. Its totient is φ = 796538880.

The previous prime is 2012100091. The next prime is 2012100107. The reversal of 2012100100 is 10012102.

It can be written as a sum of positive squares in 6 ways, for example, as 87347716 + 1924752384 = 9346^2 + 43872^2 .

It is not an unprimeable number, because it can be changed into a prime (2012100107) 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 11 ways as a sum of consecutive naturals, for example, 94017 + ... + 113416.

Almost surely, 2^2012100100 is an apocalyptic number.

2012100100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2012100100 is an abundant number, since it is smaller than the sum of its proper divisors (2399191344).

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

2012100100 is a wasteful number, since it uses less digits than its factorization.

2012100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207544 (or 207537 counting only the distinct ones).

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

The square root of 2012100100 is about 44856.4387797337. The cubic root of 2012100100 is about 1262.4568047176.

Adding to 2012100100 its reverse (10012102), we get a palindrome (2022112202).

The spelling of 2012100100 in words is "two billion, twelve million, one hundred thousand, one hundred".