211120010201120 has 48 divisors (see below), whose sum is σ = 504375192944280. Its totient is φ = 83499150096384.

The previous prime is 211120010201059. The next prime is 211120010201179. The reversal of 211120010201120 is 21102010021112.

It can be written as a sum of positive squares in 4 ways, for example, as 89111107857424 + 122008902343696 = 9439868^2 + 11045764^2 .

It is a junction number, because it is equal to n+sod(n) for n = 211120010201095 and 211120010201104.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7412907467 + ... + 7412935946.

Almost surely, 2^{211120010201120} is an apocalyptic number.

211120010201120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211120010201120 is an abundant number, since it is smaller than the sum of its proper divisors (293255182743160).

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

211120010201120 is a wasteful number, since it uses less digits than its factorization.

211120010201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14825843517 (or 14825843509 counting only the distinct ones).

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

Adding to 211120010201120 its reverse (21102010021112), we get a palindrome (232222020222232).

The spelling of 211120010201120 in words is "two hundred eleven trillion, one hundred twenty billion, ten million, two hundred one thousand, one hundred twenty".