2011001120010 has 96 divisors (see below), whose sum is σ = 5537778302160. Its totient is φ = 504575023104.

The previous prime is 2011001119997. The next prime is 2011001120033. The reversal of 2011001120010 is 100211001102.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 473507758161 + 1537493361849 = 688119^2 + 1239957^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 2011001119974 and 2011001120001.

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, 5118124 + ... + 5497016.

Almost surely, 2^{2011001120010} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2011001120010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2768889151080).

2011001120010 is an abundant number, since it is smaller than the sum of its proper divisors (3526777182150).

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

2011001120010 is a wasteful number, since it uses less digits than its factorization.

2011001120010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382392 (or 382389 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 2011001120010 its reverse (100211001102), we get a palindrome (2111212121112).

The spelling of 2011001120010 in words is "two trillion, eleven billion, one million, one hundred twenty thousand, ten".