201102102112110 has 128 divisors (see below), whose sum is σ = 497764297958400. Its totient is φ = 51973086627840.

The previous prime is 201102102112013. The next prime is 201102102112283. The reversal of 201102102112110 is 11211201201102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 201102102112110.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3840072006 + ... + 3840124374.

It is an arithmetic number, because the mean of its divisors is an integer number (3888783577800).

Almost surely, 2^{201102102112110} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201102102112110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248882148979200).

201102102112110 is an abundant number, since it is smaller than the sum of its proper divisors (296662195846290).

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

201102102112110 is a wasteful number, since it uses less digits than its factorization.

201102102112110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83066.

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

Adding to 201102102112110 its reverse (11211201201102), we get a palindrome (212313303313212).

The spelling of 201102102112110 in words is "two hundred one trillion, one hundred two billion, one hundred two million, one hundred twelve thousand, one hundred ten".