201100122120 has 64 divisors (see below), whose sum is σ = 612304873920. Its totient is φ = 52826298624.

The previous prime is 201100122001. The next prime is 201100122121. The reversal of 201100122120 is 21221001102.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 201100122096 and 201100122105.

It is not an unprimeable number, because it can be changed into a prime (201100122121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12498187 + ... + 12514266.

It is an arithmetic number, because the mean of its divisors is an integer number (9567263655).

Almost surely, 2^201100122120 is an apocalyptic number.

201100122120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201100122120 is an abundant number, since it is smaller than the sum of its proper divisors (411204751800).

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

201100122120 is a wasteful number, since it uses less digits than its factorization.

201100122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25012534 (or 25012530 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 201100122120 its reverse (21221001102), we get a palindrome (222321123222).

The spelling of 201100122120 in words is "two hundred one billion, one hundred million, one hundred twenty-two thousand, one hundred twenty".