211122001020 has 96 divisors (see below), whose sum is σ = 675970444800. Its totient is φ = 48229311744.

The previous prime is 211122001003. The next prime is 211122001021. The reversal of 211122001020 is 20100221112.

211122001020 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

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 = 211122000987 and 211122001005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211122001021) 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 31 ways as a sum of consecutive naturals, for example, 610891 + ... + 891869.

It is an arithmetic number, because the mean of its divisors is an integer number (7041358800).

Almost surely, 2^211122001020 is an apocalyptic number.

211122001020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211122001020 is an abundant number, since it is smaller than the sum of its proper divisors (464848443780).

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

211122001020 is a wasteful number, since it uses less digits than its factorization.

211122001020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282787 (or 282785 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 211122001020 its reverse (20100221112), we get a palindrome (231222222132).

The spelling of 211122001020 in words is "two hundred eleven billion, one hundred twenty-two million, one thousand, twenty".