211410120020 has 96 divisors (see below), whose sum is σ = 497905422336. Its totient is φ = 74741904000.

The previous prime is 211410119969. The next prime is 211410120041. The reversal of 211410120020 is 20021014112.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 211410119977 and 211410120004.

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 31 ways as a sum of consecutive naturals, for example, 1493639 + ... + 1629041.

It is an arithmetic number, because the mean of its divisors is an integer number (5186514816).

Almost surely, 2^211410120020 is an apocalyptic number.

211410120020 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 211410120020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248952711168).

211410120020 is an abundant number, since it is smaller than the sum of its proper divisors (286495302316).

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

211410120020 is a wasteful number, since it uses less digits than its factorization.

211410120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135621 (or 135619 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 211410120020 its reverse (20021014112), we get a palindrome (231431134132).

The spelling of 211410120020 in words is "two hundred eleven billion, four hundred ten million, one hundred twenty thousand, twenty".