211122102000000 has 224 divisors, whose sum is σ = 700982401529160. Its totient is φ = 56299225600000.

The previous prime is 211122101999981. The next prime is 211122102000013. The reversal of 211122102000000 is 201221112.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 211122102000000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 11593509 + ... + 23593508.

Almost surely, 2^{211122102000000} is an apocalyptic number.

211122102000000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211122102000000 is an abundant number, since it is smaller than the sum of its proper divisors (489860299529160).

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

211122102000000 is an frugal number, since it uses more digits than its factorization.

211122102000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35187064 (or 35187027 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 211122102000000 its reverse (201221112), we get a palindrome (211122303221112).

The spelling of 211122102000000 in words is "two hundred eleven trillion, one hundred twenty-two billion, one hundred two million", and thus it is an aban number.