201101122112 has 112 divisors (see below), whose sum is σ = 438982225920. Its totient is φ = 90647155200.

The previous prime is 201101122099. The next prime is 201101122121. The reversal of 201101122112 is 211221101102.

It is a super-2 number, since 2×201101122112² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56313287 + ... + 56316857.

It is an arithmetic number, because the mean of its divisors is an integer number (3919484160).

Almost surely, 2^201101122112 is an apocalyptic number.

201101122112 is a gapful number since it is divisible by the number (22) 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 201101122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219491112960).

201101122112 is an abundant number, since it is smaller than the sum of its proper divisors (237881103808).

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

201101122112 is a wasteful number, since it uses less digits than its factorization.

201101122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4240 (or 4230 counting only the distinct ones).

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

Adding to 201101122112 its reverse (211221101102), we get a palindrome (412322223214).

The spelling of 201101122112 in words is "two hundred one billion, one hundred one million, one hundred twenty-two thousand, one hundred twelve".