211221211101120 has 448 divisors, whose sum is σ = 848224318970880. Its totient is φ = 48978831052800.

The previous prime is 211221211101119. The next prime is 211221211101133. The reversal of 211221211101120 is 21101112122112.

It is a happy number.

211221211101120 is a `hidden beast` number, since 2 + 11 + 221 + 211 + 101 + 120 = 666.

It is a super-2 number, since 2×211221211101120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 211221211101093 and 211221211101102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46128111 + ... + 50499950.

Almost surely, 2^{211221211101120} is an apocalyptic number.

211221211101120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211221211101120 is an abundant number, since it is smaller than the sum of its proper divisors (637003107869760).

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

211221211101120 is a wasteful number, since it uses less digits than its factorization.

211221211101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96628121 (or 96628105 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 211221211101120 its reverse (21101112122112), we get a palindrome (232322323223232).

The spelling of 211221211101120 in words is "two hundred eleven trillion, two hundred twenty-one billion, two hundred eleven million, one hundred one thousand, one hundred twenty".