2011122202120 has 32 divisors (see below), whose sum is σ = 4525601877720. Its totient is φ = 804346316800.

The previous prime is 2011122202109. The next prime is 2011122202121. The reversal of 2011122202120 is 212022211102.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 737479042756 + 1273643159364 = 858766^2 + 1128558^2 .

It is a super-2 number, since 2×2011122202120² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2011122202094 and 2011122202103.

It is not an unprimeable number, because it can be changed into a prime (2011122202121) 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, 2887081 + ... + 3515320.

Almost surely, 2^{2011122202120} is an apocalyptic number.

2011122202120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2011122202120 is an abundant number, since it is smaller than the sum of its proper divisors (2514479675600).

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

2011122202120 is a wasteful number, since it uses less digits than its factorization.

2011122202120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6410265 (or 6410261 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 2011122202120 its reverse (212022211102), we get a palindrome (2223144413222).

The spelling of 2011122202120 in words is "two trillion, eleven billion, one hundred twenty-two million, two hundred two thousand, one hundred twenty".