11221121201000 has 192 divisors, whose sum is σ = 28541536246080. Its totient is φ = 4126175155200.

The previous prime is 11221121200987. The next prime is 11221121201023. The reversal of 11221121201000 is 10212112211.

It is a super-2 number, since 2×11221121201000² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11975519 + ... + 12878481.

It is an arithmetic number, because the mean of its divisors is an integer number (148653834615).

Almost surely, 2^{11221121201000} is an apocalyptic number.

11221121201000 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 11221121201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14270768123040).

11221121201000 is an abundant number, since it is smaller than the sum of its proper divisors (17320415045080).

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

11221121201000 is a wasteful number, since it uses less digits than its factorization.

11221121201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 903061 (or 903030 counting only the distinct ones).

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

Adding to 11221121201000 its reverse (10212112211), we get a palindrome (11231333313211).

The spelling of 11221121201000 in words is "eleven trillion, two hundred twenty-one billion, one hundred twenty-one million, two hundred one thousand".