201100101112122 has 16 divisors (see below), whose sum is σ = 402200419317312. Its totient is φ = 67033330855200.

The previous prime is 201100101112073. The next prime is 201100101112123. The reversal of 201100101112122 is 221211101001102.

It is a happy number.

It is a super-2 number, since 2×201100101112122² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (201100101112123) 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 7 ways as a sum of consecutive naturals, for example, 4574238 + ... + 20569974.

It is an arithmetic number, because the mean of its divisors is an integer number (25137526207332).

Almost surely, 2^{201100101112122} is an apocalyptic number.

201100101112122 is an abundant number, since it is smaller than the sum of its proper divisors (201100318205190).

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

201100101112122 is a wasteful number, since it uses less digits than its factorization.

201100101112122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18091093.

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

Adding to 201100101112122 its reverse (221211101001102), we get a palindrome (422311202113224).

The spelling of 201100101112122 in words is "two hundred one trillion, one hundred billion, one hundred one million, one hundred twelve thousand, one hundred twenty-two".