2010111103332 has 144 divisors (see below), whose sum is σ = 5408905057920. Its totient is φ = 627625152000.

The previous prime is 2010111103327. The next prime is 2010111103339. The reversal of 2010111103332 is 2333011110102.

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

It is not an unprimeable number, because it can be changed into a prime (2010111103339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51309832 + ... + 51348992.

It is an arithmetic number, because the mean of its divisors is an integer number (37561840680).

Almost surely, 2^{2010111103332} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2010111103332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2704452528960).

2010111103332 is an abundant number, since it is smaller than the sum of its proper divisors (3398793954588).

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

2010111103332 is a wasteful number, since it uses less digits than its factorization.

2010111103332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40034 (or 40029 counting only the distinct ones).

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

Adding to 2010111103332 its reverse (2333011110102), we get a palindrome (4343122213434).

The spelling of 2010111103332 in words is "two trillion, ten billion, one hundred eleven million, one hundred three thousand, three hundred thirty-two".