211210201020 has 768 divisors, whose sum is σ = 783660810240. Its totient is φ = 41309097984.

The previous prime is 211210200983. The next prime is 211210201043. The reversal of 211210201020 is 20102012112.

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 = 211210200987 and 211210201005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 456177309 + ... + 456177771.

It is an arithmetic number, because the mean of its divisors is an integer number (1020391680).

Almost surely, 2^211210201020 is an apocalyptic number.

211210201020 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 211210201020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391830405120).

211210201020 is an abundant number, since it is smaller than the sum of its proper divisors (572450609220).

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

211210201020 is a wasteful number, since it uses less digits than its factorization.

211210201020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634 (or 632 counting only the distinct ones).

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

Adding to 211210201020 its reverse (20102012112), we get a palindrome (231312213132).

The spelling of 211210201020 in words is "two hundred eleven billion, two hundred ten million, two hundred one thousand, twenty".