201211100120120 has 256 divisors, whose sum is σ = 465112168416000. Its totient is φ = 78316706856960.

The previous prime is 201211100120117. The next prime is 201211100120131. The reversal of 201211100120120 is 21021001112102.

It is a junction number, because it is equal to n+sod(n) for n = 201211100120095 and 201211100120104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 69454986512 + ... + 69454989408.

It is an arithmetic number, because the mean of its divisors is an integer number (1816844407875).

Almost surely, 2^{201211100120120} is an apocalyptic number.

201211100120120 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 201211100120120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232556084208000).

201211100120120 is an abundant number, since it is smaller than the sum of its proper divisors (263901068295880).

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

201211100120120 is a wasteful number, since it uses less digits than its factorization.

201211100120120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3938 (or 3934 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 201211100120120 its reverse (21021001112102), we get a palindrome (222232101232222).

The spelling of 201211100120120 in words is "two hundred one trillion, two hundred eleven billion, one hundred million, one hundred twenty thousand, one hundred twenty".