2010200100100 has 18 divisors (see below), whose sum is σ = 4362134217434. Its totient is φ = 804080040000.

The previous prime is 2010200100079. The next prime is 2010200100101. The reversal of 2010200100100 is 10010020102.

It can be written as a sum of positive squares in 3 ways, for example, as 285243582724 + 1724956517376 = 534082^2 + 1313376^2 .

It is not an unprimeable number, because it can be changed into a prime (2010200100101) 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, 10051000401 + ... + 10051000600.

Almost surely, 2^{2010200100100} is an apocalyptic number.

2010200100100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2010200100100 is an abundant number, since it is smaller than the sum of its proper divisors (2351934117334).

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

2010200100100 is a wasteful number, since it uses less digits than its factorization.

2010200100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20102001015 (or 20102001008 counting only the distinct ones).

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

Adding to 2010200100100 its reverse (10010020102), we get a palindrome (2020210120202).

The spelling of 2010200100100 in words is "two trillion, ten billion, two hundred million, one hundred thousand, one hundred".