2120012122011 has 16 divisors (see below), whose sum is σ = 3400520697600. Its totient is φ = 1147675735008.

The previous prime is 2120012121991. The next prime is 2120012122013. The reversal of 2120012122011 is 1102212100212.

It is not a de Polignac number, because 2120012122011 - 2⁵ = 2120012121979 is a prime.

It is a super-3 number, since 3×2120012122011³ (a number of 38 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2120012122013) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2656656396 + ... + 2656657193.

It is an arithmetic number, because the mean of its divisors is an integer number (212532543600).

Almost surely, 2^{2120012122011} is an apocalyptic number.

2120012122011 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2120012122011 is a deficient number, since it is larger than the sum of its proper divisors (1280508575589).

2120012122011 is a wasteful number, since it uses less digits than its factorization.

2120012122011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5313313618.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 2120012122011 its reverse (1102212100212), we get a palindrome (3222224222223).

The spelling of 2120012122011 in words is "two trillion, one hundred twenty billion, twelve million, one hundred twenty-two thousand, eleven".