2011011201120 has 48 divisors (see below), whose sum is σ = 6334685285040. Its totient is φ = 536269653504.

The previous prime is 2011011201083. The next prime is 2011011201203. The reversal of 2011011201120 is 211021101102.

It is a tau number, because it is divible by the number of its divisors (48).

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 = 2011011201096 and 2011011201105.

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, 2094802855 + ... + 2094803814.

It is an arithmetic number, because the mean of its divisors is an integer number (131972610105).

Almost surely, 2^{2011011201120} is an apocalyptic number.

2011011201120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2011011201120 is an abundant number, since it is smaller than the sum of its proper divisors (4323674083920).

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

2011011201120 is a wasteful number, since it uses less digits than its factorization.

2011011201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4189606687 (or 4189606679 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 2011011201120 its reverse (211021101102), we get a palindrome (2222032302222).

The spelling of 2011011201120 in words is "two trillion, eleven billion, eleven million, two hundred one thousand, one hundred twenty".