210011001020 has 144 divisors (see below), whose sum is σ = 481307258880. Its totient is φ = 76757051520.

The previous prime is 210011000959. The next prime is 210011001043. The reversal of 210011001020 is 20100110012.

It is a junction number, because it is equal to n+sod(n) for n = 210011000989 and 210011001007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 134020277 + ... + 134021843.

It is an arithmetic number, because the mean of its divisors is an integer number (3342411520).

Almost surely, 2^210011001020 is an apocalyptic number.

210011001020 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 210011001020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240653629440).

210011001020 is an abundant number, since it is smaller than the sum of its proper divisors (271296257860).

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

210011001020 is a wasteful number, since it uses less digits than its factorization.

210011001020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2024 (or 1991 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 210011001020 its reverse (20100110012), we get a palindrome (230111111032).

The spelling of 210011001020 in words is "two hundred ten billion, eleven million, one thousand, twenty".