201102110202210 has 256 divisors, whose sum is σ = 584092543795200. Its totient is φ = 43287091732224.

The previous prime is 201102110202209. The next prime is 201102110202281. The reversal of 201102110202210 is 12202011201102.

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 201102110202210.

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 127 ways as a sum of consecutive naturals, for example, 1916172957 + ... + 1916277903.

It is an arithmetic number, because the mean of its divisors is an integer number (2281611499200).

Almost surely, 2^{201102110202210} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201102110202210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292046271897600).

201102110202210 is an abundant number, since it is smaller than the sum of its proper divisors (382990433592990).

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

201102110202210 is a wasteful number, since it uses less digits than its factorization.

201102110202210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107845.

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

Adding to 201102110202210 its reverse (12202011201102), we get a palindrome (213304121403312).

The spelling of 201102110202210 in words is "two hundred one trillion, one hundred two billion, one hundred ten million, two hundred two thousand, two hundred ten".