2010000011120 has 40 divisors (see below), whose sum is σ = 4673334231216. Its totient is φ = 803985517568.

The previous prime is 2010000011093. The next prime is 2010000011143. The reversal of 2010000011120 is 211100000102.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×2010000011120³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 2010000011098 and 2010000011107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4987064 + ... + 5375016.

Almost surely, 2^{2010000011120} is an apocalyptic number.

2010000011120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2010000011120 is an abundant number, since it is smaller than the sum of its proper divisors (2663334220096).

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

2010000011120 is a wasteful number, since it uses less digits than its factorization.

2010000011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452729 (or 452723 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 2010000011120 its reverse (211100000102), we get a palindrome (2221100011222).

The spelling of 2010000011120 in words is "two trillion, ten billion, eleven thousand, one hundred twenty".