211101200020100 has 36 divisors (see below), whose sum is σ = 493327265896164. Its totient is φ = 77945058468480.

The previous prime is 211101200020091. The next prime is 211101200020103. The reversal of 211101200020100 is 1020002101112.

It can be written as a sum of positive squares in 6 ways, for example, as 85191570885184 + 125909629134916 = 9229928^2 + 11220946^2 .

It is not an unprimeable number, because it can be changed into a prime (211101200020103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 81192767939 + ... + 81192770538.

Almost surely, 2^{211101200020100} is an apocalyptic number.

211101200020100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211101200020100 is an abundant number, since it is smaller than the sum of its proper divisors (282226065876064).

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

211101200020100 is a wasteful number, since it uses less digits than its factorization.

211101200020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162385538504 (or 162385538497 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 211101200020100 its reverse (1020002101112), we get a palindrome (212121202121212).

The spelling of 211101200020100 in words is "two hundred eleven trillion, one hundred one billion, two hundred million, twenty thousand, one hundred".