3310211101122 has 96 divisors (see below), whose sum is σ = 7890899088384. Its totient is φ = 998341632000.

The previous prime is 3310211101103. The next prime is 3310211101123. The reversal of 3310211101122 is 2211011120133.

3310211101122 is a `hidden beast` number, since 331 + 0 + 211 + 1 + 0 + 1 + 122 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3310211101095 and 3310211101104.

It is not an unprimeable number, because it can be changed into a prime (3310211101123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 276898 + ... + 2587874.

It is an arithmetic number, because the mean of its divisors is an integer number (82196865504).

Almost surely, 2^{3310211101122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3310211101122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3945449544192).

3310211101122 is an abundant number, since it is smaller than the sum of its proper divisors (4580687987262).

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

3310211101122 is a wasteful number, since it uses less digits than its factorization.

3310211101122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2311184 (or 2311181 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 3310211101122 its reverse (2211011120133), we get a palindrome (5521222221255).

The spelling of 3310211101122 in words is "three trillion, three hundred ten billion, two hundred eleven million, one hundred one thousand, one hundred twenty-two".