11022102201000 has 512 divisors, whose sum is σ = 40690920291840. Its totient is φ = 2453504000000.

The previous prime is 11022102200953. The next prime is 11022102201007. The reversal of 11022102201000 is 10220122011.

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

It is not an unprimeable number, because it can be changed into a prime (11022102201007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 22761400 + ... + 23240600.

It is an arithmetic number, because the mean of its divisors is an integer number (79474453695).

Almost surely, 2^{11022102201000} is an apocalyptic number.

11022102201000 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 11022102201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20345460145920).

11022102201000 is an abundant number, since it is smaller than the sum of its proper divisors (29668818090840).

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

11022102201000 is a wasteful number, since it uses less digits than its factorization.

11022102201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479294 (or 479280 counting only the distinct ones).

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

Adding to 11022102201000 its reverse (10220122011), we get a palindrome (11032322323011).

The spelling of 11022102201000 in words is "eleven trillion, twenty-two billion, one hundred two million, two hundred one thousand".