2011121010012 has 48 divisors (see below), whose sum is σ = 4736069972480. Its totient is φ = 664166962368.

The previous prime is 2011121010001. The next prime is 2011121010023. The reversal of 2011121010012 is 2100101211102.

It is an interprime number because it is at equal distance from previous prime (2011121010001) and next prime (2011121010023).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 2011121010012.

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 15 ways as a sum of consecutive naturals, for example, 17027553 + ... + 17145255.

Almost surely, 2^{2011121010012} is an apocalyptic number.

It is an amenable number.

2011121010012 is an abundant number, since it is smaller than the sum of its proper divisors (2724948962468).

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

2011121010012 is a wasteful number, since it uses less digits than its factorization.

2011121010012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130882 (or 130880 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 2011121010012 its reverse (2100101211102), we get a palindrome (4111222221114).

The spelling of 2011121010012 in words is "two trillion, eleven billion, one hundred twenty-one million, ten thousand, twelve".