201020020292 has 192 divisors, whose sum is σ = 490758912000. Its totient is φ = 69702985728.

The previous prime is 201020020291. The next prime is 201020020339. The reversal of 201020020292 is 292020020102.

201020020292 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (201020020291) 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 63 ways as a sum of consecutive naturals, for example, 6922259 + ... + 6951237.

It is an arithmetic number, because the mean of its divisors is an integer number (2556036000).

Almost surely, 2^201020020292 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201020020292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245379456000).

201020020292 is an abundant number, since it is smaller than the sum of its proper divisors (289738891708).

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

201020020292 is a wasteful number, since it uses less digits than its factorization.

201020020292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29098 (or 29096 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 201020020292 its reverse (292020020102), we get a palindrome (493040040394).

The spelling of 201020020292 in words is "two hundred one billion, twenty million, twenty thousand, two hundred ninety-two".