201102222101000 has 1024 divisors, whose sum is σ = 569715793920000. Its totient is φ = 65648423808000.

The previous prime is 201102222100999. The next prime is 201102222101041. The reversal of 201102222101000 is 101222201102.

It is an unprimeable number.

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 255 ways as a sum of consecutive naturals, for example, 38830316411 + ... + 38830321589.

It is an arithmetic number, because the mean of its divisors is an integer number (556363080000).

Almost surely, 2^{201102222101000} is an apocalyptic number.

201102222101000 is a gapful number since it is divisible by the number (20) 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 201102222101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284857896960000).

201102222101000 is an abundant number, since it is smaller than the sum of its proper divisors (368613571819000).

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

201102222101000 is a wasteful number, since it uses less digits than its factorization.

201102222101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5403 (or 5389 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 201102222101000 its reverse (101222201102), we get a palindrome (201203444302102).

It can be divided in two parts, 20110222 and 2101000, that added together give a palindrome (22211222).

The spelling of 201102222101000 in words is "two hundred one trillion, one hundred two billion, two hundred twenty-two million, one hundred one thousand".