201101101200100 has 36 divisors (see below), whose sum is σ = 448183697439604. Its totient is φ = 78266374519680.

The previous prime is 201101101200029. The next prime is 201101101200101. The reversal of 201101101200100 is 1002101101102.

It can be written as a sum of positive squares in 6 ways, for example, as 11270738124864 + 189830363075236 = 3357192^2 + 13777894^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (201101101200101) 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, 27175820787 + ... + 27175828186.

Almost surely, 2^{201101101200100} is an apocalyptic number.

201101101200100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201101101200100 is an abundant number, since it is smaller than the sum of its proper divisors (247082596239504).

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

201101101200100 is a wasteful number, since it uses less digits than its factorization.

201101101200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54351649024 (or 54351649017 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 201101101200100 its reverse (1002101101102), we get a palindrome (202103202301202).

The spelling of 201101101200100 in words is "two hundred one trillion, one hundred one billion, one hundred one million, two hundred thousand, one hundred".