211202011020 has 768 divisors, whose sum is σ = 824409944064. Its totient is φ = 38983680000.

The previous prime is 211202010997. The next prime is 211202011021. The reversal of 211202011020 is 20110202112.

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 = 211202010987 and 211202011005.

It is not an unprimeable number, because it can be changed into a prime (211202011021) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 224443750 + ... + 224444690.

It is an arithmetic number, because the mean of its divisors is an integer number (1073450448).

Almost surely, 2^211202011020 is an apocalyptic number.

211202011020 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 211202011020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412204972032).

211202011020 is an abundant number, since it is smaller than the sum of its proper divisors (613207933044).

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

211202011020 is a wasteful number, since it uses less digits than its factorization.

211202011020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1122 (or 1120 counting only the distinct ones).

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

Adding to 211202011020 its reverse (20110202112), we get a palindrome (231312213132).

The spelling of 211202011020 in words is "two hundred eleven billion, two hundred two million, eleven thousand, twenty".