211101241165120 has 28 divisors (see below), whose sum is σ = 502684830525204. Its totient is φ = 84440496465920.

The previous prime is 211101241165081. The next prime is 211101241165147. The reversal of 211101241165120 is 21561142101112.

It can be written as a sum of positive squares in 2 ways, for example, as 119732266066176 + 91368975098944 = 10942224^2 + 9558712^2 .

It is a super-2 number, since 2×211101241165120² (a number of 29 digits) contains 22 as substring.

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, 329845689001 + ... + 329845689640.

Almost surely, 2^{211101241165120} is an apocalyptic number.

211101241165120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211101241165120 is an abundant number, since it is smaller than the sum of its proper divisors (291583589360084).

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

211101241165120 is an equidigital number, since it uses as much as digits as its factorization.

211101241165120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659691378658 (or 659691378648 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 28.

Adding to 211101241165120 its reverse (21561142101112), we get a palindrome (232662383266232).

The spelling of 211101241165120 in words is "two hundred eleven trillion, one hundred one billion, two hundred forty-one million, one hundred sixty-five thousand, one hundred twenty".