11011220010000 has 600 divisors, whose sum is σ = 44099815091904. Its totient is φ = 2511653760000.

The previous prime is 11011220009957. The next prime is 11011220010013. The reversal of 11011220010000 is 1002211011.

It is a happy number.

11011220010000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (600).

It is a super-2 number, since 2×11011220010000² (a number of 27 digits) contains 22 as substring.

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 309312202 + ... + 309347798.

Almost surely, 2^{11011220010000} is an apocalyptic number.

11011220010000 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 11011220010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22049907545952).

11011220010000 is an abundant number, since it is smaller than the sum of its proper divisors (33088595081904).

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

11011220010000 is a wasteful number, since it uses less digits than its factorization.

11011220010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36129 (or 36105 counting only the distinct ones).

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

Adding to 11011220010000 its reverse (1002211011), we get a palindrome (11012222221011).

The spelling of 11011220010000 in words is "eleven trillion, eleven billion, two hundred twenty million, ten thousand".