211102211202120 has 576 divisors, whose sum is σ = 811443711265200. Its totient is φ = 47445439426560.

The previous prime is 211102211202119. The next prime is 211102211202217. The reversal of 211102211202120 is 21202112201112.

211102211202120 is a `hidden beast` number, since 2 + 1 + 110 + 221 + 120 + 212 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 24317344912644 + 186784866289476 = 4931262^2 + 13666926^2 .

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 = 211102211202093 and 211102211202102.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3474502782 + ... + 3474563538.

Almost surely, 2^{211102211202120} is an apocalyptic number.

211102211202120 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 211102211202120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405721855632600).

211102211202120 is an abundant number, since it is smaller than the sum of its proper divisors (600341500063080).

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

211102211202120 is a wasteful number, since it uses less digits than its factorization.

211102211202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64078 (or 64064 counting only the distinct ones).

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

Adding to 211102211202120 its reverse (21202112201112), we get a palindrome (232304323403232).

The spelling of 211102211202120 in words is "two hundred eleven trillion, one hundred two billion, two hundred eleven million, two hundred two thousand, one hundred twenty".