201211100112220 has 96 divisors (see below), whose sum is σ = 464795820119232. Its totient is φ = 73162961696000.

The previous prime is 201211100112199. The next prime is 201211100112263. The reversal of 201211100112220 is 22211001112102.

It is a junction number, because it is equal to n+sod(n) for n = 201211100112194 and 201211100112203.

It is a congruent number.

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, 427308510 + ... + 427779130.

It is an arithmetic number, because the mean of its divisors is an integer number (4841623126242).

Almost surely, 2^{201211100112220} is an apocalyptic number.

201211100112220 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 201211100112220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232397910059616).

201211100112220 is an abundant number, since it is smaller than the sum of its proper divisors (263584720007012).

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

201211100112220 is a wasteful number, since it uses less digits than its factorization.

201211100112220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486724 (or 486700 counting only the distinct ones).

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

Adding to 201211100112220 its reverse (22211001112102), we get a palindrome (223422101224322).

The spelling of 201211100112220 in words is "two hundred one trillion, two hundred eleven billion, one hundred million, one hundred twelve thousand, two hundred twenty".