201102220011000 has 1536 divisors, whose sum is σ = 846790480972800. Its totient is φ = 39179427840000.

The previous prime is 201102220010999. The next prime is 201102220011029. The reversal of 201102220011000 is 110022201102.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2980097260 + ... + 2980164740.

It is an arithmetic number, because the mean of its divisors is an integer number (551295886050).

Almost surely, 2^{201102220011000} is an apocalyptic number.

201102220011000 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 201102220011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423395240486400).

201102220011000 is an abundant number, since it is smaller than the sum of its proper divisors (645688260961800).

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

201102220011000 is a wasteful number, since it uses less digits than its factorization.

201102220011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67646 (or 67625 counting only the distinct ones).

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

Adding to 201102220011000 its reverse (110022201102), we get a palindrome (201212242212102).

It can be divided in two parts, 2011022 and 20011000, that added together give a palindrome (22022022).

The spelling of 201102220011000 in words is "two hundred one trillion, one hundred two billion, two hundred twenty million, eleven thousand".