11020121001000 has 192 divisors, whose sum is σ = 37300566560400. Its totient is φ = 2934552384000.

The previous prime is 11020121000983. The next prime is 11020121001007. The reversal of 11020121001000 is 10012102011.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 72903240036 + 10947217760964 = 270006^2 + 3308658^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (11020121001007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5517490 + ... + 7244510.

Almost surely, 2^{11020121001000} is an apocalyptic number.

11020121001000 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 11020121001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18650283280200).

11020121001000 is an abundant number, since it is smaller than the sum of its proper divisors (26280445559400).

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

11020121001000 is a wasteful number, since it uses less digits than its factorization.

11020121001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1727757 (or 1727740 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 11020121001000 its reverse (10012102011), we get a palindrome (11030133103011).

It can be divided in two parts, 1102012 and 1001000, that added together give a palindrome (2103012).

The spelling of 11020121001000 in words is "eleven trillion, twenty billion, one hundred twenty-one million, one thousand".