201000122020 has 48 divisors (see below), whose sum is σ = 441103719168. Its totient is φ = 76790679680.

The previous prime is 201000122009. The next prime is 201000122021. The reversal of 201000122020 is 20221000102.

201000122020 is digitally balanced in base 2 and base 3, 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 (10).

It is a junction number, because it is equal to n+sod(n) for n = 201000121988 and 201000122006.

It is not an unprimeable number, because it can be changed into a prime (201000122021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11296 + ... + 634135.

It is an arithmetic number, because the mean of its divisors is an integer number (9189660816).

Almost surely, 2^201000122020 is an apocalyptic number.

201000122020 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 201000122020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220551859584).

201000122020 is an abundant number, since it is smaller than the sum of its proper divisors (240103597148).

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

201000122020 is a wasteful number, since it uses less digits than its factorization.

201000122020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646140 (or 646138 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 201000122020 its reverse (20221000102), we get a palindrome (221221122122).

The spelling of 201000122020 in words is "two hundred one billion, one hundred twenty-two thousand, twenty".