110020110202002 has 512 divisors, whose sum is σ = 306919045472256. Its totient is φ = 25370661888000.

The previous prime is 110020110201997. The next prime is 110020110202133. The reversal of 110020110202002 is 200202011020011.

It is a super-2 number, since 2×110020110202002² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 15329536638 + ... + 15329543814.

It is an arithmetic number, because the mean of its divisors is an integer number (599451260688).

Almost surely, 2^{110020110202002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110020110202002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153459522736128).

110020110202002 is an abundant number, since it is smaller than the sum of its proper divisors (196898935270254).

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

110020110202002 is a wasteful number, since it uses less digits than its factorization.

110020110202002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8034.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 110020110202002 its reverse (200202011020011), we get a palindrome (310222121222013).

The spelling of 110020110202002 in words is "one hundred ten trillion, twenty billion, one hundred ten million, two hundred two thousand, two".