2011102002120 has 32 divisors (see below), whose sum is σ = 6033306006720. Its totient is φ = 536293867200.

The previous prime is 2011102002113. The next prime is 2011102002121. The reversal of 2011102002120 is 212002011102.

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 = 2011102002096 and 2011102002105.

It is not an unprimeable number, because it can be changed into a prime (2011102002121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8379591556 + ... + 8379591795.

It is an arithmetic number, because the mean of its divisors is an integer number (188540812710).

Almost surely, 2^{2011102002120} is an apocalyptic number.

2011102002120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2011102002120 is an abundant number, since it is smaller than the sum of its proper divisors (4022204004600).

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

2011102002120 is a wasteful number, since it uses less digits than its factorization.

2011102002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16759183365 (or 16759183361 counting only the distinct ones).

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

Adding to 2011102002120 its reverse (212002011102), we get a palindrome (2223104013222).

The spelling of 2011102002120 in words is "two trillion, eleven billion, one hundred two million, two thousand, one hundred twenty".