11220121100010 has 128 divisors (see below), whose sum is σ = 28945368403200. Its totient is φ = 2773280784384.

The previous prime is 11220121100003. The next prime is 11220121100011. The reversal of 11220121100010 is 1000112102211.

11220121100010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11220121100010² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11220121100011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 138313782 + ... + 138394878.

It is an arithmetic number, because the mean of its divisors is an integer number (226135690650).

Almost surely, 2^{11220121100010} is an apocalyptic number.

11220121100010 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 11220121100010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14472684201600).

11220121100010 is an abundant number, since it is smaller than the sum of its proper divisors (17725247303190).

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

11220121100010 is a wasteful number, since it uses less digits than its factorization.

11220121100010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85240.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11220121100010 its reverse (1000112102211), we get a palindrome (12220233202221).

The spelling of 11220121100010 in words is "eleven trillion, two hundred twenty billion, one hundred twenty-one million, one hundred thousand, ten".