201020120010 has 256 divisors, whose sum is σ = 555221606400. Its totient is φ = 51727133952.

The previous prime is 201020119961. The next prime is 201020120011. The reversal of 201020120010 is 10021020102.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 201020119974 and 201020120001.

It is not an unprimeable number, because it can be changed into a prime (201020120011) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 324749481 + ... + 324750099.

It is an arithmetic number, because the mean of its divisors is an integer number (2168834400).

Almost surely, 2^201020120010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201020120010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277610803200).

201020120010 is an abundant number, since it is smaller than the sum of its proper divisors (354201486390).

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

201020120010 is a wasteful number, since it uses less digits than its factorization.

201020120010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1002 (or 996 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 201020120010 its reverse (10021020102), we get a palindrome (211041140112).

The spelling of 201020120010 in words is "two hundred one billion, twenty million, one hundred twenty thousand, ten".