11121221120010 has 256 divisors, whose sum is σ = 27787917459456. Its totient is φ = 2846638080000.

The previous prime is 11121221120003. The next prime is 11121221120017. The reversal of 11121221120010 is 1002112212111.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11121221120003) and next prime (11121221120017).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (11121221120017) 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, 11222220615 + ... + 11222221605.

It is an arithmetic number, because the mean of its divisors is an integer number (108546552576).

Almost surely, 2^{11121221120010} is an apocalyptic number.

11121221120010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11121221120010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13893958729728).

11121221120010 is an abundant number, since it is smaller than the sum of its proper divisors (16666696339446).

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

11121221120010 is a wasteful number, since it uses less digits than its factorization.

11121221120010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1701.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 11121221120010 its reverse (1002112212111), we get a palindrome (12123333332121).

The spelling of 11121221120010 in words is "eleven trillion, one hundred twenty-one billion, two hundred twenty-one million, one hundred twenty thousand, ten".