2011102030224 has 90 divisors (see below), whose sum is σ = 6547197406230. Its totient is φ = 574600578048.

The previous prime is 2011102030213. The next prime is 2011102030241. The reversal of 2011102030224 is 4220302011102.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 2003832762624 + 7269267600 = 1415568^2 + 85260^2 .

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 = 2011102030197 and 2011102030206.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 142503009 + ... + 142517120.

It is an arithmetic number, because the mean of its divisors is an integer number (72746637847).

Almost surely, 2^{2011102030224} is an apocalyptic number.

2011102030224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2011102030224 is an abundant number, since it is smaller than the sum of its proper divisors (4536095376006).

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

2011102030224 is a wasteful number, since it uses less digits than its factorization.

2011102030224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285020157 (or 285020141 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 2011102030224 its reverse (4220302011102), we get a palindrome (6231404041326).

The spelling of 2011102030224 in words is "two trillion, eleven billion, one hundred two million, thirty thousand, two hundred twenty-four".