211112002201120 has 96 divisors (see below), whose sum is σ = 499495219777008. Its totient is φ = 84319066411008.

The previous prime is 211112002201069. The next prime is 211112002201127. The reversal of 211112002201120 is 21102200211112.

It can be written as a sum of positive squares in 8 ways, for example, as 26195193279376 + 184916808921744 = 5118124^2 + 13598412^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 211112002201094 and 211112002201103.

It is not an unprimeable number, because it can be changed into a prime (211112002201127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 323347642 + ... + 323999878.

Almost surely, 2^{211112002201120} is an apocalyptic number.

211112002201120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211112002201120 is an abundant number, since it is smaller than the sum of its proper divisors (288383217575888).

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

211112002201120 is a wasteful number, since it uses less digits than its factorization.

211112002201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655262 (or 655254 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 211112002201120 its reverse (21102200211112), we get a palindrome (232214202412232).

The spelling of 211112002201120 in words is "two hundred eleven trillion, one hundred twelve billion, two million, two hundred one thousand, one hundred twenty".