201012201111120 has 80 divisors (see below), whose sum is σ = 712157512513920. Its totient is φ = 45945645967872.

The previous prime is 201012201111119. The next prime is 201012201111131. The reversal of 201012201111120 is 21111102210102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 201012201111120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59825058175 + ... + 59825061534.

It is an arithmetic number, because the mean of its divisors is an integer number (8901968906424).

Almost surely, 2^{201012201111120} is an apocalyptic number.

201012201111120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201012201111120 is an abundant number, since it is smaller than the sum of its proper divisors (511145311402800).

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

201012201111120 is a wasteful number, since it uses less digits than its factorization.

201012201111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119650119732 (or 119650119726 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 201012201111120 its reverse (21111102210102), we get a palindrome (222123303321222).

The spelling of 201012201111120 in words is "two hundred one trillion, twelve billion, two hundred one million, one hundred eleven thousand, one hundred twenty".