211121201101120 has 448 divisors, whose sum is σ = 537464247091200. Its totient is φ = 78853851095040.

The previous prime is 211121201101117. The next prime is 211121201101121. The reversal of 211121201101120 is 21101102121112.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 211121201101094 and 211121201101103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211121201101121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21518821015 + ... + 21518830825.

Almost surely, 2^{211121201101120} is an apocalyptic number.

211121201101120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211121201101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268732123545600).

211121201101120 is an abundant number, since it is smaller than the sum of its proper divisors (326343045990080).

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

211121201101120 is a wasteful number, since it uses less digits than its factorization.

211121201101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10486 (or 10476 counting only the distinct ones).

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

Adding to 211121201101120 its reverse (21101102121112), we get a palindrome (232222303222232).

The spelling of 211121201101120 in words is "two hundred eleven trillion, one hundred twenty-one billion, two hundred one million, one hundred one thousand, one hundred twenty".