211100211211120 has 240 divisors, whose sum is σ = 628185257945280. Its totient is φ = 64556005662720.

The previous prime is 211100211211117. The next prime is 211100211211129. The reversal of 211100211211120 is 21112112001112.

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 = 211100211211094 and 211100211211103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211100211211129) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25799385 + ... + 32981944.

It is an arithmetic number, because the mean of its divisors is an integer number (2617438574772).

Almost surely, 2^{211100211211120} is an apocalyptic number.

211100211211120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211100211211120 is an abundant number, since it is smaller than the sum of its proper divisors (417085046734160).

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

211100211211120 is a wasteful number, since it uses less digits than its factorization.

211100211211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58781424 (or 58781407 counting only the distinct ones).

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

Adding to 211100211211120 its reverse (21112112001112), we get a palindrome (232212323212232).

The spelling of 211100211211120 in words is "two hundred eleven trillion, one hundred billion, two hundred eleven million, two hundred eleven thousand, one hundred twenty".