11221011221000 has 384 divisors, whose sum is σ = 30984296709600. Its totient is φ = 3792096000000.

The previous prime is 11221011220999. The next prime is 11221011221027. The reversal of 11221011221000 is 12211012211.

It can be written as a sum of positive squares in 16 ways, for example, as 3919980251236 + 7301030969764 = 1979894^2 + 2702042^2 .

It is a super-2 number, since 2×11221011221000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1133316050 + ... + 1133325950.

Almost surely, 2^{11221011221000} is an apocalyptic number.

11221011221000 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 11221011221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15492148354800).

11221011221000 is an abundant number, since it is smaller than the sum of its proper divisors (19763285488600).

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

11221011221000 is a wasteful number, since it uses less digits than its factorization.

11221011221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10266 (or 10245 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 11221011221000 its reverse (12211012211), we get a palindrome (11233222233211).

It can be divided in two parts, 112210 and 11221000, that multiplied together give a square (1259108410000 = 1122100²).

The spelling of 11221011221000 in words is "eleven trillion, two hundred twenty-one billion, eleven million, two hundred twenty-one thousand".