11010221121168 has 30 divisors (see below), whose sum is σ = 30813327165894. Its totient is φ = 3670073707008.

The previous prime is 11010221121143. The next prime is 11010221121169. The reversal of 11010221121168 is 86112112201011.

It can be written as a sum of positive squares in only one way, i.e., 10779717429504 + 230503691664 = 3283248^2 + 480108^2 .

It is not an unprimeable number, because it can be changed into a prime (11010221121169) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 38229934305 + ... + 38229934592.

Almost surely, 2^{11010221121168} is an apocalyptic number.

11010221121168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11010221121168 is an abundant number, since it is smaller than the sum of its proper divisors (19803106044726).

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

11010221121168 is a wasteful number, since it uses less digits than its factorization.

11010221121168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76459868911 (or 76459868902 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 27.

Adding to 11010221121168 its reverse (86112112201011), we get a palindrome (97122333322179).

The spelling of 11010221121168 in words is "eleven trillion, ten billion, two hundred twenty-one million, one hundred twenty-one thousand, one hundred sixty-eight".