211221221022120 has 128 divisors (see below), whose sum is σ = 634353746227200. Its totient is φ = 56264325820416.

The previous prime is 211221221022047. The next prime is 211221221022143. The reversal of 211221221022120 is 21220122122112.

It is a super-2 number, since 2×211221221022120² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2115780366 + ... + 2115880194.

It is an arithmetic number, because the mean of its divisors is an integer number (4955888642400).

Almost surely, 2^{211221221022120} is an apocalyptic number.

211221221022120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211221221022120 is an abundant number, since it is smaller than the sum of its proper divisors (423132525205080).

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

211221221022120 is a wasteful number, since it uses less digits than its factorization.

211221221022120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118867 (or 118863 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 211221221022120 its reverse (21220122122112), we get a palindrome (232441343144232).

The spelling of 211221221022120 in words is "two hundred eleven trillion, two hundred twenty-one billion, two hundred twenty-one million, twenty-two thousand, one hundred twenty".