20102012002100 has 54 divisors (see below), whose sum is σ = 50743221737670. Its totient is φ = 6892118399040.

The previous prime is 20102012002087. The next prime is 20102012002151. The reversal of 20102012002100 is 120021020102.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 645637962256 + 19456374039844 = 803516^2 + 4410938^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2051220815 + ... + 2051230614.

Almost surely, 2^{20102012002100} is an apocalyptic number.

20102012002100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20102012002100 is an abundant number, since it is smaller than the sum of its proper divisors (30641209735570).

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

20102012002100 is a wasteful number, since it uses less digits than its factorization.

20102012002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4102451457 (or 4102451443 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 20102012002100 its reverse (120021020102), we get a palindrome (20222033022202).

The spelling of 20102012002100 in words is "twenty trillion, one hundred two billion, twelve million, two thousand, one hundred".