21022112122011 has 96 divisors (see below), whose sum is σ = 40838919593472. Its totient is φ = 10063531514880.

The previous prime is 21022112122003. The next prime is 21022112122027. The reversal of 21022112122011 is 11022121122012.

21022112122011 is a `hidden beast` number, since 210 + 2 + 211 + 21 + 220 + 1 + 1 = 666.

It is not a de Polignac number, because 21022112122011 - 2³ = 21022112122003 is a prime.

It is not an unprimeable number, because it can be changed into a prime (21022112122061) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3374836 + ... + 7309838.

It is an arithmetic number, because the mean of its divisors is an integer number (425405412432).

Almost surely, 2^{21022112122011} is an apocalyptic number.

21022112122011 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

21022112122011 is a deficient number, since it is larger than the sum of its proper divisors (19816807471461).

21022112122011 is a wasteful number, since it uses less digits than its factorization.

21022112122011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3935633 (or 3935630 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 21022112122011 its reverse (11022121122012), we get a palindrome (32044233244023).

Subtracting from 21022112122011 its reverse (11022121122012), we obtain a palindrome (9999990999999).

The spelling of 21022112122011 in words is "twenty-one trillion, twenty-two billion, one hundred twelve million, one hundred twenty-two thousand, eleven".