201211111012120 has 128 divisors (see below), whose sum is σ = 515371322442240. Its totient is φ = 69984248688640.

The previous prime is 201211111012069. The next prime is 201211111012127. The reversal of 201211111012120 is 21210111112102.

It is a super-2 number, since 2×201211111012120² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 201211111012094 and 201211111012103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201211111012127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 335714952 + ... + 336313768.

It is an arithmetic number, because the mean of its divisors is an integer number (4026338456580).

Almost surely, 2^{201211111012120} is an apocalyptic number.

201211111012120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201211111012120 is an abundant number, since it is smaller than the sum of its proper divisors (314160211430120).

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

201211111012120 is a wasteful number, since it uses less digits than its factorization.

201211111012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632065 (or 632061 counting only the distinct ones).

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

Adding to 201211111012120 its reverse (21210111112102), we get a palindrome (222421222124222).

The spelling of 201211111012120 in words is "two hundred one trillion, two hundred eleven billion, one hundred eleven million, twelve thousand, one hundred twenty".