201120100100 has 72 divisors (see below), whose sum is σ = 437472000000. Its totient is φ = 80256384000.

The previous prime is 201120100039. The next prime is 201120100121. The reversal of 201120100100 is 1001021102.

201120100100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 143759201 + ... + 143760599.

It is an arithmetic number, because the mean of its divisors is an integer number (6076000000).

Almost surely, 2^201120100100 is an apocalyptic number.

201120100100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201120100100 is an abundant number, since it is smaller than the sum of its proper divisors (236351899900).

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

201120100100 is a wasteful number, since it uses less digits than its factorization.

201120100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3813 (or 3806 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 201120100100 its reverse (1001021102), we get a palindrome (202121121202).

The spelling of 201120100100 in words is "two hundred one billion, one hundred twenty million, one hundred thousand, one hundred".