201100012120 has 48 divisors (see below), whose sum is σ = 526348506240. Its totient is φ = 68948574912.

The previous prime is 201100012111. The next prime is 201100012123. The reversal of 201100012120 is 21210001102.

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

It is a junction number, because it is equal to n+sod(n) for n = 201100012097 and 201100012106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201100012123) 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, 51299064 + ... + 51302983.

It is an arithmetic number, because the mean of its divisors is an integer number (10965593880).

Almost surely, 2^201100012120 is an apocalyptic number.

201100012120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201100012120 is an abundant number, since it is smaller than the sum of its proper divisors (325248494120).

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

201100012120 is a wasteful number, since it uses less digits than its factorization.

201100012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102602072 (or 102602061 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 201100012120 its reverse (21210001102), we get a palindrome (222310013222).

The spelling of 201100012120 in words is "two hundred one billion, one hundred million, twelve thousand, one hundred twenty".