201011100000100 has 108 divisors (see below), whose sum is σ = 483848717598540. Its totient is φ = 72409251532800.

The previous prime is 201011100000083. The next prime is 201011100000131. The reversal of 201011100000100 is 1000001110102.

It can be written as a sum of positive squares in 18 ways, for example, as 168162176965696 + 32848923034404 = 12967736^2 + 5731398^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 144357685 + ... + 145743484.

It is an arithmetic number, because the mean of its divisors is an integer number (4480080718505).

Almost surely, 2^{201011100000100} is an apocalyptic number.

201011100000100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201011100000100 is an abundant number, since it is smaller than the sum of its proper divisors (282837617598440).

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

201011100000100 is a wasteful number, since it uses less digits than its factorization.

201011100000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290101250 (or 290101230 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 201011100000100 its reverse (1000001110102), we get a palindrome (202011101110202).

The spelling of 201011100000100 in words is "two hundred one trillion, eleven billion, one hundred million, one hundred", and thus it is an aban number.