201100122112 has 48 divisors (see below), whose sum is σ = 403199203680. Its totient is φ = 100275707904.

The previous prime is 201100122001. The next prime is 201100122121. The reversal of 201100122112 is 211221001102.

It is a super-2 number, since 2×201100122112² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 201100122092 and 201100122101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 617838 + ... + 885394.

It is an arithmetic number, because the mean of its divisors is an integer number (8399983410).

Almost surely, 2^201100122112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201100122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201599601840).

201100122112 is an abundant number, since it is smaller than the sum of its proper divisors (202099081568).

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

201100122112 is an equidigital number, since it uses as much as digits as its factorization.

201100122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267946 (or 267926 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 201100122112 its reverse (211221001102), we get a palindrome (412321123214).

The spelling of 201100122112 in words is "two hundred one billion, one hundred million, one hundred twenty-two thousand, one hundred twelve".