2010002011120 has 40 divisors (see below), whose sum is σ = 4679846140320. Its totient is φ = 802866789120.

The previous prime is 2010002011117. The next prime is 2010002011163. The reversal of 2010002011120 is 211102000102.

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

It is a super-4 number, since 4×2010002011120⁴ (a number of 50 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 2010002011097 and 2010002011106.

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, 17661916 + ... + 17775355.

It is an arithmetic number, because the mean of its divisors is an integer number (116996153508).

Almost surely, 2^{2010002011120} is an apocalyptic number.

2010002011120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2010002011120 is an abundant number, since it is smaller than the sum of its proper divisors (2669844129200).

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

2010002011120 is a wasteful number, since it uses less digits than its factorization.

2010002011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35437993 (or 35437987 counting only the distinct ones).

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

Adding to 2010002011120 its reverse (211102000102), we get a palindrome (2221104011222).

The spelling of 2010002011120 in words is "two trillion, ten billion, two million, eleven thousand, one hundred twenty".