211012122221120 has 56 divisors (see below), whose sum is σ = 548151944779008. Its totient is φ = 76731680806400.

The previous prime is 211012122221113. The next prime is 211012122221141. The reversal of 211012122221120 is 21122221210112.

211012122221120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×211012122221120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 211012122221092 and 211012122221101.

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, 29973309296 + ... + 29973316335.

Almost surely, 2^{211012122221120} is an apocalyptic number.

211012122221120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211012122221120 is an abundant number, since it is smaller than the sum of its proper divisors (337139822557888).

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

211012122221120 is a wasteful number, since it uses less digits than its factorization.

211012122221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59946625659 (or 59946625649 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 211012122221120 its reverse (21122221210112), we get a palindrome (232134343431232).

It can be divided in two parts, 21101212 and 2221120, that added together give a palindrome (23322332).

The spelling of 211012122221120 in words is "two hundred eleven trillion, twelve billion, one hundred twenty-two million, two hundred twenty-one thousand, one hundred twenty".