2011121033310 has 96 divisors (see below), whose sum is σ = 5253416663040. Its totient is φ = 533786894784.

The previous prime is 2011121033239. The next prime is 2011121033359. The reversal of 2011121033310 is 133301211102.

2011121033310 is a `hidden beast` number, since 2 + 0 + 111 + 210 + 33 + 310 = 666.

It is a super-2 number, since 2×2011121033310² (a number of 25 digits) contains 22 as substring.

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

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, 183173401 + ... + 183184379.

It is an arithmetic number, because the mean of its divisors is an integer number (54723090240).

Almost surely, 2^{2011121033310} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2011121033310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2626708331520).

2011121033310 is an abundant number, since it is smaller than the sum of its proper divisors (3242295629730).

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

2011121033310 is a wasteful number, since it uses less digits than its factorization.

2011121033310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20342 (or 20339 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 2011121033310 its reverse (133301211102), we get a palindrome (2144422244412).

The spelling of 2011121033310 in words is "two trillion, eleven billion, one hundred twenty-one million, thirty-three thousand, three hundred ten".