201102122112 has 64 divisors (see below), whose sum is σ = 534312197760. Its totient is φ = 67017139200.

The previous prime is 201102122101. The next prime is 201102122113. The reversal of 201102122112 is 211221201102.

201102122112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 201102122091 and 201102122100.

It is not an unprimeable number, because it can be changed into a prime (201102122113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1507737 + ... + 1635687.

It is an arithmetic number, because the mean of its divisors is an integer number (8348628090).

Almost surely, 2^201102122112 is an apocalyptic number.

It is an amenable number.

201102122112 is an abundant number, since it is smaller than the sum of its proper divisors (333210075648).

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

201102122112 is a wasteful number, since it uses less digits than its factorization.

201102122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132061 (or 132049 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 201102122112 its reverse (211221201102), we get a palindrome (412323323214).

The spelling of 201102122112 in words is "two hundred one billion, one hundred two million, one hundred twenty-two thousand, one hundred twelve".