201101122111 has 8 divisors (see below), whose sum is σ = 201375383040. Its totient is φ = 200826926208.

The previous prime is 201101122099. The next prime is 201101122121. The reversal of 201101122111 is 111221101102.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 201101122111 - 2²³ = 201092733503 is a prime.

It is a super-2 number, since 2×201101122111² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 201101122091 and 201101122100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201101122121) 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, 11484715 + ... + 11502211.

It is an arithmetic number, because the mean of its divisors is an integer number (25171922880).

Almost surely, 2^201101122111 is an apocalyptic number.

201101122111 is a deficient number, since it is larger than the sum of its proper divisors (274260929).

201101122111 is a wasteful number, since it uses less digits than its factorization.

201101122111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32513.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 201101122111 its reverse (111221101102), we get a palindrome (312322223213).

The spelling of 201101122111 in words is "two hundred one billion, one hundred one million, one hundred twenty-two thousand, one hundred eleven".