201011022112120 has 128 divisors (see below), whose sum is σ = 505665025620480. Its totient is φ = 71281885248000.

The previous prime is 201011022112099. The next prime is 201011022112129. The reversal of 201011022112120 is 21211220110102.

It is a junction number, because it is equal to n+sod(n) for n = 201011022112094 and 201011022112103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201011022112129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3519930 + ... + 20357110.

It is an arithmetic number, because the mean of its divisors is an integer number (3950508012660).

Almost surely, 2^{201011022112120} is an apocalyptic number.

201011022112120 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 201011022112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252832512810240).

201011022112120 is an abundant number, since it is smaller than the sum of its proper divisors (304654003508360).

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

201011022112120 is a wasteful number, since it uses less digits than its factorization.

201011022112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16837877 (or 16837873 counting only the distinct ones).

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

Adding to 201011022112120 its reverse (21211220110102), we get a palindrome (222222242222222).

The spelling of 201011022112120 in words is "two hundred one trillion, eleven billion, twenty-two million, one hundred twelve thousand, one hundred twenty".