2011110010002 has 20 divisors (see below), whose sum is σ = 4506376133886. Its totient is φ = 670370003280.

The previous prime is 2011110009989. The next prime is 2011110010003. The reversal of 2011110010002 is 2000100111102.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 1134525349881 + 876584660121 = 1065141^2 + 936261^2 .

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

It is not an unprimeable number, because it can be changed into a prime (2011110010003) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 6207129499 + ... + 6207129822.

Almost surely, 2^{2011110010002} is an apocalyptic number.

2011110010002 is an abundant number, since it is smaller than the sum of its proper divisors (2495266123884).

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

2011110010002 is a wasteful number, since it uses less digits than its factorization.

2011110010002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12414259335 (or 12414259326 counting only the distinct ones).

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

Adding to 2011110010002 its reverse (2000100111102), we get a palindrome (4011210121104).

The spelling of 2011110010002 in words is "two trillion, eleven billion, one hundred ten million, ten thousand, two".