210010010222020 has 192 divisors, whose sum is σ = 476520084637632. Its totient is φ = 77455171584000.

The previous prime is 210010010221993. The next prime is 210010010222027. The reversal of 210010010222020 is 20222010010012.

It is a happy number.

It can be written as a sum of positive squares in 32 ways, for example, as 179600255856004 + 30409754366016 = 13401502^2 + 5514504^2 .

It is not an unprimeable number, because it can be changed into a prime (210010010222027) by changing a digit.

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, 15694635730 + ... + 15694649110.

It is an arithmetic number, because the mean of its divisors is an integer number (2481875440821).

Almost surely, 2^{210010010222020} is an apocalyptic number.

210010010222020 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 210010010222020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238260042318816).

210010010222020 is an abundant number, since it is smaller than the sum of its proper divisors (266510074415612).

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

210010010222020 is a wasteful number, since it uses less digits than its factorization.

210010010222020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16442 (or 16440 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 210010010222020 its reverse (20222010010012), we get a palindrome (230232020232032).

The spelling of 210010010222020 in words is "two hundred ten trillion, ten billion, ten million, two hundred twenty-two thousand, twenty".