11220121100001 has 32 divisors (see below), whose sum is σ = 16331223379968. Its totient is φ = 6795471751040.

The previous prime is 11220121099981. The next prime is 11220121100003. The reversal of 11220121100001 is 10000112102211.

It is a cyclic number.

It is not a de Polignac number, because 11220121100001 - 2⁵ = 11220121099969 is a prime.

It is a super-2 number, since 2×11220121100001² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11220121100001.

It is not an unprimeable number, because it can be changed into a prime (11220121100003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 432979021 + ... + 433004933.

It is an arithmetic number, because the mean of its divisors is an integer number (510350730624).

Almost surely, 2^{11220121100001} is an apocalyptic number.

11220121100001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11220121100001 is a deficient number, since it is larger than the sum of its proper divisors (5111102279967).

11220121100001 is a wasteful number, since it uses less digits than its factorization.

11220121100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34301.

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

Adding to 11220121100001 its reverse (10000112102211), we get a palindrome (21220233202212).

The spelling of 11220121100001 in words is "eleven trillion, two hundred twenty billion, one hundred twenty-one million, one hundred thousand, one".