211210211101120 has 336 divisors, whose sum is σ = 631872193224384. Its totient is φ = 65824004505600.

The previous prime is 211210211101093. The next prime is 211210211101147. The reversal of 211210211101120 is 21101112012112.

It is an interprime number because it is at equal distance from previous prime (211210211101093) and next prime (211210211101147).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 211210211101094 and 211210211101103.

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 47 ways as a sum of consecutive naturals, for example, 2567520790 + ... + 2567603050.

It is an arithmetic number, because the mean of its divisors is an integer number (1880572003644).

Almost surely, 2^{211210211101120} is an apocalyptic number.

211210211101120 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 211210211101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315936096612192).

211210211101120 is an abundant number, since it is smaller than the sum of its proper divisors (420661982123264).

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

211210211101120 is a wasteful number, since it uses less digits than its factorization.

211210211101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91780 (or 91759 counting only the distinct ones).

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

Adding to 211210211101120 its reverse (21101112012112), we get a palindrome (232311323113232).

The spelling of 211210211101120 in words is "two hundred eleven trillion, two hundred ten billion, two hundred eleven million, one hundred one thousand, one hundred twenty".