201211100202100 has 36 divisors (see below), whose sum is σ = 448428846566764. Its totient is φ = 78309184942080.

The previous prime is 201211100202031. The next prime is 201211100202107. The reversal of 201211100202100 is 1202001112102.

It can be written as a sum of positive squares in 6 ways, for example, as 4365542214544 + 196845557987556 = 2089388^2 + 14030166^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201211100202107) 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, 27190685517 + ... + 27190692916.

Almost surely, 2^{201211100202100} is an apocalyptic number.

201211100202100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201211100202100 is an abundant number, since it is smaller than the sum of its proper divisors (247217746364664).

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

201211100202100 is a wasteful number, since it uses less digits than its factorization.

201211100202100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54381378484 (or 54381378477 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 201211100202100 its reverse (1202001112102), we get a palindrome (202413101314202).

The spelling of 201211100202100 in words is "two hundred one trillion, two hundred eleven billion, one hundred million, two hundred two thousand, one hundred".