211011020020 has 96 divisors (see below), whose sum is σ = 450539814816. Its totient is φ = 83005440000.

The previous prime is 211011020009. The next prime is 211011020023. The reversal of 211011020020 is 20020110112.

It can be written as a sum of positive squares in 16 ways, for example, as 9408224016 + 201602796004 = 96996^2 + 449002^2 .

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 = 211011019979 and 211011020006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211011020023) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 272976354 + ... + 272977126.

It is an arithmetic number, because the mean of its divisors is an integer number (4693123071).

Almost surely, 2^211011020020 is an apocalyptic number.

211011020020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211011020020 is an abundant number, since it is smaller than the sum of its proper divisors (239528794796).

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

211011020020 is a wasteful number, since it uses less digits than its factorization.

211011020020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1621 (or 1619 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 211011020020 its reverse (20020110112), we get a palindrome (231031130132).

The spelling of 211011020020 in words is "two hundred eleven billion, eleven million, twenty thousand, twenty".