110102211002000 has 240 divisors, whose sum is σ = 309732791837040. Its totient is φ = 37744455168000.

The previous prime is 110102211001933. The next prime is 110102211002011. The reversal of 110102211002000 is 200112201011.

It can be written as a sum of positive squares in 8 ways, for example, as 80383489587856 + 29718721414144 = 8965684^2 + 5451488^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 804413570 + ... + 804550430.

It is an arithmetic number, because the mean of its divisors is an integer number (1290553299321).

Almost surely, 2^{110102211002000} is an apocalyptic number.

110102211002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110102211002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154866395918520).

110102211002000 is an abundant number, since it is smaller than the sum of its proper divisors (199630580835040).

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

110102211002000 is a wasteful number, since it uses less digits than its factorization.

110102211002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145107 (or 145084 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 110102211002000 its reverse (200112201011), we get a palindrome (110302323203011).

The spelling of 110102211002000 in words is "one hundred ten trillion, one hundred two billion, two hundred eleven million, two thousand".