211033310302120 has 128 divisors (see below), whose sum is σ = 490798211904000. Its totient is φ = 81617232879616.

The previous prime is 211033310302103. The next prime is 211033310302153. The reversal of 211033310302120 is 21203013330112.

It is a junction number, because it is equal to n+sod(n) for n = 211033310302091 and 211033310302100.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4150170456 + ... + 4150221304.

It is an arithmetic number, because the mean of its divisors is an integer number (3834361030500).

Almost surely, 2^{211033310302120} is an apocalyptic number.

211033310302120 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 211033310302120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245399105952000).

211033310302120 is an abundant number, since it is smaller than the sum of its proper divisors (279764901601880).

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

211033310302120 is a wasteful number, since it uses less digits than its factorization.

211033310302120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77587 (or 77583 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 211033310302120 its reverse (21203013330112), we get a palindrome (232236323632232).

The spelling of 211033310302120 in words is "two hundred eleven trillion, thirty-three billion, three hundred ten million, three hundred two thousand, one hundred twenty".