211211220313110 has 128 divisors (see below), whose sum is σ = 514894443646464. Its totient is φ = 55436889784320.

The previous prime is 211211220313099. The next prime is 211211220313201. The reversal of 211211220313110 is 11313022112112.

It is a super-2 number, since 2×211211220313110² (a number of 29 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 14473453974 + ... + 14473468566.

It is an arithmetic number, because the mean of its divisors is an integer number (4022612840988).

Almost surely, 2^{211211220313110} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211211220313110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257447221823232).

211211220313110 is an abundant number, since it is smaller than the sum of its proper divisors (303683223333354).

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

211211220313110 is a wasteful number, since it uses less digits than its factorization.

211211220313110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20078.

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 211211220313110 its reverse (11313022112112), we get a palindrome (222524242425222).

The spelling of 211211220313110 in words is "two hundred eleven trillion, two hundred eleven billion, two hundred twenty million, three hundred thirteen thousand, one hundred ten".