201130011100 has 36 divisors (see below), whose sum is σ = 437540620608. Its totient is φ = 80251360000.

The previous prime is 201130011097. The next prime is 201130011109. The reversal of 201130011100 is 1110031102.

201130011100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×201130011100² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201130011109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2467756 + ... + 2547955.

It is an arithmetic number, because the mean of its divisors is an integer number (12153906128).

Almost surely, 2^201130011100 is an apocalyptic number.

201130011100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201130011100 is an abundant number, since it is smaller than the sum of its proper divisors (236410609508).

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

201130011100 is a wasteful number, since it uses less digits than its factorization.

201130011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5016126 (or 5016119 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 201130011100 its reverse (1110031102), we get a palindrome (202240042202).

The spelling of 201130011100 in words is "two hundred one billion, one hundred thirty million, eleven thousand, one hundred".