2011000122120 has 96 divisors (see below), whose sum is σ = 6631314500160. Its totient is φ = 487515177600.

The previous prime is 2011000122097. The next prime is 2011000122163. The reversal of 2011000122120 is 212210001102.

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

It is a junction number, because it is equal to n+sod(n) for n = 2011000122096 and 2011000122105.

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 23 ways as a sum of consecutive naturals, for example, 69234796 + ... + 69263835.

It is an arithmetic number, because the mean of its divisors is an integer number (69076192710).

Almost surely, 2^{2011000122120} is an apocalyptic number.

2011000122120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2011000122120 is an abundant number, since it is smaller than the sum of its proper divisors (4620314378040).

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

2011000122120 is a wasteful number, since it uses less digits than its factorization.

2011000122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138498667 (or 138498652 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2011000122120 its reverse (212210001102), we get a palindrome (2223210123222).

The spelling of 2011000122120 in words is "two trillion, eleven billion, one hundred twenty-two thousand, one hundred twenty".