210211222101120 has 256 divisors, whose sum is σ = 748657296432000. Its totient is φ = 55743161241600.

The previous prime is 210211222101091. The next prime is 210211222101121. The reversal of 210211222101120 is 21101222112012.

210211222101120 is a `hidden beast` number, since 2 + 10 + 211 + 222 + 101 + 120 = 666.

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 = 210211222101093 and 210211222101102.

It is not an unprimeable number, because it can be changed into a prime (210211222101121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30887331 + ... + 37073570.

Almost surely, 2^{210211222101120} is an apocalyptic number.

210211222101120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210211222101120 is an abundant number, since it is smaller than the sum of its proper divisors (538446074330880).

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

210211222101120 is a wasteful number, since it uses less digits than its factorization.

210211222101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67961108 (or 67961090 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 210211222101120 its reverse (21101222112012), we get a palindrome (231312444213132).

The spelling of 210211222101120 in words is "two hundred ten trillion, two hundred eleven billion, two hundred twenty-two million, one hundred one thousand, one hundred twenty".