201012110012120 has 128 divisors (see below), whose sum is σ = 531439606368000. Its totient is φ = 67637767841280.

The previous prime is 201012110012113. The next prime is 201012110012179. The reversal of 201012110012120 is 21210011210102.

It is a junction number, because it is equal to n+sod(n) for n = 201012110012095 and 201012110012104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 279227855 + ... + 279946814.

It is an arithmetic number, because the mean of its divisors is an integer number (4151871924750).

Almost surely, 2^{201012110012120} is an apocalyptic number.

201012110012120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201012110012120 is an abundant number, since it is smaller than the sum of its proper divisors (330427496355880).

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

201012110012120 is a wasteful number, since it uses less digits than its factorization.

201012110012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559174753 (or 559174749 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 201012110012120 its reverse (21210011210102), we get a palindrome (222222121222222).

The spelling of 201012110012120 in words is "two hundred one trillion, twelve billion, one hundred ten million, twelve thousand, one hundred twenty".