201010012000120 has 128 divisors (see below), whose sum is σ = 466689653084160. Its totient is φ = 77879747911680.

The previous prime is 201010012000093. The next prime is 201010012000129. The reversal of 201010012000120 is 21000210010102.

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 = 201010012000097 and 201010012000106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201010012000129) 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, 89272792 + ... + 91496728.

It is an arithmetic number, because the mean of its divisors is an integer number (3646012914720).

Almost surely, 2^{201010012000120} is an apocalyptic number.

201010012000120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201010012000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233344826542080).

201010012000120 is an abundant number, since it is smaller than the sum of its proper divisors (265679641084040).

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

201010012000120 is a wasteful number, since it uses less digits than its factorization.

201010012000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2224493 (or 2224489 counting only the distinct ones).

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

Adding to 201010012000120 its reverse (21000210010102), we get a palindrome (222010222010222).

The spelling of 201010012000120 in words is "two hundred one trillion, ten billion, twelve million, one hundred twenty", and thus it is an aban number.