11010121120000 has 180 divisors, whose sum is σ = 27637736590156. Its totient is φ = 4375987200000.

The previous prime is 11010121119971. The next prime is 11010121120081. The reversal of 11010121120000 is 2112101011.

It can be written as a sum of positive squares in 10 ways, for example, as 10598306294016 + 411814825984 = 3255504^2 + 641728^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 24900850 + ... + 25339150.

Almost surely, 2^{11010121120000} is an apocalyptic number.

11010121120000 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 11010121120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13818868295078).

11010121120000 is an abundant number, since it is smaller than the sum of its proper divisors (16627615470156).

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

11010121120000 is an frugal number, since it uses more digits than its factorization.

11010121120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438494 (or 438465 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 11010121120000 its reverse (2112101011), we get a palindrome (11012233221011).

The spelling of 11010121120000 in words is "eleven trillion, ten billion, one hundred twenty-one million, one hundred twenty thousand".