212010201101120 has 28 divisors (see below), whose sum is σ = 504849291372804. Its totient is φ = 84804080440320.

The previous prime is 212010201101117. The next prime is 212010201101131. The reversal of 212010201101120 is 21101102010212.

It can be written as a sum of positive squares in 2 ways, for example, as 73186382449216 + 138823818651904 = 8554904^2 + 11782352^2 .

It is a junction number, because it is equal to n+sod(n) for n = 212010201101095 and 212010201101104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 331265938901 + ... + 331265939540.

It is an arithmetic number, because the mean of its divisors is an integer number (18030331834743).

Almost surely, 2^{212010201101120} is an apocalyptic number.

212010201101120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212010201101120 is an abundant number, since it is smaller than the sum of its proper divisors (292839090271684).

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

212010201101120 is an equidigital number, since it uses as much as digits as its factorization.

212010201101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662531878458 (or 662531878448 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 212010201101120 its reverse (21101102010212), we get a palindrome (233111303111332).

The spelling of 212010201101120 in words is "two hundred twelve trillion, ten billion, two hundred one million, one hundred one thousand, one hundred twenty".