211011201111020 has 96 divisors (see below), whose sum is σ = 461561316733440. Its totient is φ = 80965643028480.

The previous prime is 211011201110987. The next prime is 211011201111023. The reversal of 211011201111020 is 20111102110112.

It is a junction number, because it is equal to n+sod(n) for n = 211011201110986 and 211011201111004.

It is not an unprimeable number, because it can be changed into a prime (211011201111023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50296124 + ... + 54329756.

It is an arithmetic number, because the mean of its divisors is an integer number (4807930382640).

Almost surely, 2^{211011201111020} is an apocalyptic number.

211011201111020 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 211011201111020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230780658366720).

211011201111020 is an abundant number, since it is smaller than the sum of its proper divisors (250550115622420).

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

211011201111020 is a wasteful number, since it uses less digits than its factorization.

211011201111020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4034775 (or 4034773 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 211011201111020 its reverse (20111102110112), we get a palindrome (231122303221132).

The spelling of 211011201111020 in words is "two hundred eleven trillion, eleven billion, two hundred one million, one hundred eleven thousand, twenty".