201101100122112 has 136 divisors (see below), whose sum is σ = 536477721775104. Its totient is φ = 67007173361664.

The previous prime is 201101100122099. The next prime is 201101100122113. The reversal of 201101100122112 is 211221001101102.

It is a happy number.

It is a super-2 number, since 2×201101100122112² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 201101100122091 and 201101100122100.

It is not an unprimeable number, because it can be changed into a prime (201101100122113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 499773033 + ... + 500175255.

Almost surely, 2^{201101100122112} 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 201101100122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268238860887552).

201101100122112 is an abundant number, since it is smaller than the sum of its proper divisors (335376621652992).

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

201101100122112 is an frugal number, since it uses more digits than its factorization.

201101100122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404801 (or 404771 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 201101100122112 its reverse (211221001101102), we get a palindrome (412322101223214).

The spelling of 201101100122112 in words is "two hundred one trillion, one hundred one billion, one hundred million, one hundred twenty-two thousand, one hundred twelve".