211101101120 has 224 divisors, whose sum is σ = 620405818368. Its totient is φ = 66624602112.

The previous prime is 211101101117. The next prime is 211101101153. The reversal of 211101101120 is 21101101112.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10677164 + ... + 10696916.

It is an arithmetic number, because the mean of its divisors is an integer number (2769668832).

Almost surely, 2^211101101120 is an apocalyptic number.

211101101120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211101101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310202909184).

211101101120 is an abundant number, since it is smaller than the sum of its proper divisors (409304717248).

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

211101101120 is a wasteful number, since it uses less digits than its factorization.

211101101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20157 (or 20147 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 211101101120 its reverse (21101101112), we get a palindrome (232202202232).

The spelling of 211101101120 in words is "two hundred eleven billion, one hundred one million, one hundred one thousand, one hundred twenty".