2011020001012 has 192 divisors, whose sum is σ = 4223644508160. Its totient is φ = 827915212800.

The previous prime is 2011020000989. The next prime is 2011020001027. The reversal of 2011020001012 is 2101000201102.

It is a self number, because there is not a number n which added to its sum of digits gives 2011020001012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 501874713 + ... + 501878719.

It is an arithmetic number, because the mean of its divisors is an integer number (21998148480).

Almost surely, 2^{2011020001012} is an apocalyptic number.

2011020001012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2011020001012 is an abundant number, since it is smaller than the sum of its proper divisors (2212624507148).

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

2011020001012 is a wasteful number, since it uses less digits than its factorization.

2011020001012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4382 (or 4380 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 2011020001012 its reverse (2101000201102), we get a palindrome (4112020202114).

The spelling of 2011020001012 in words is "two trillion, eleven billion, twenty million, one thousand, twelve".