201002221020 has 192 divisors, whose sum is σ = 612931415040. Its totient is φ = 49010946048.

The previous prime is 201002221009. The next prime is 201002221039. The reversal of 201002221020 is 20122200102.

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 = 201002220987 and 201002221005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27886257 + ... + 27893463.

It is an arithmetic number, because the mean of its divisors is an integer number (3192351120).

Almost surely, 2^201002221020 is an apocalyptic number.

201002221020 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 201002221020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306465707520).

201002221020 is an abundant number, since it is smaller than the sum of its proper divisors (411929194020).

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

201002221020 is a wasteful number, since it uses less digits than its factorization.

201002221020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8012 (or 8010 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 201002221020 its reverse (20122200102), we get a palindrome (221124421122).

The spelling of 201002221020 in words is "two hundred one billion, two million, two hundred twenty-one thousand, twenty".