201013020120 has 128 divisors (see below), whose sum is σ = 659289818880. Its totient is φ = 48624576000.

The previous prime is 201013020077. The next prime is 201013020133. The reversal of 201013020120 is 21020310102.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 201013020096 and 201013020105.

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, 443355 + ... + 773685.

It is an arithmetic number, because the mean of its divisors is an integer number (5150701710).

Almost surely, 2^201013020120 is an apocalyptic number.

201013020120 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 201013020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329644909440).

201013020120 is an abundant number, since it is smaller than the sum of its proper divisors (458276798760).

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

201013020120 is a wasteful number, since it uses less digits than its factorization.

201013020120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330817 (or 330813 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 201013020120 its reverse (21020310102), we get a palindrome (222033330222).

The spelling of 201013020120 in words is "two hundred one billion, thirteen million, twenty thousand, one hundred twenty".