201012102120120 has 128 divisors (see below), whose sum is σ = 623790231321600. Its totient is φ = 51779279033856.

The previous prime is 201012102120101. The next prime is 201012102120127. The reversal of 201012102120120 is 21021201210102.

201012102120120 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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 201012102120120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201012102120127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 162235344 + ... + 163469663.

It is an arithmetic number, because the mean of its divisors is an integer number (4873361182200).

Almost surely, 2^{201012102120120} is an apocalyptic number.

201012102120120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201012102120120 is an abundant number, since it is smaller than the sum of its proper divisors (422778129201480).

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

201012102120120 is a wasteful number, since it uses less digits than its factorization.

201012102120120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325705197 (or 325705193 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 201012102120120 its reverse (21021201210102), we get a palindrome (222033303330222).

The spelling of 201012102120120 in words is "two hundred one trillion, twelve billion, one hundred two million, one hundred twenty thousand, one hundred twenty".