11201101202120 has 16 divisors (see below), whose sum is σ = 25202477704860. Its totient is φ = 4480440480832.

The previous prime is 11201101202117. The next prime is 11201101202191. The reversal of 11201101202120 is 2120210110211.

It can be written as a sum of positive squares in 2 ways, for example, as 10347506296516 + 853594905604 = 3216754^2 + 923902^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11201101202095 and 11201101202104.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 140013764987 + ... + 140013765066.

Almost surely, 2^{11201101202120} is an apocalyptic number.

11201101202120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11201101202120 is an abundant number, since it is smaller than the sum of its proper divisors (14001376502740).

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

11201101202120 is a wasteful number, since it uses less digits than its factorization.

11201101202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280027530064 (or 280027530060 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 11201101202120 its reverse (2120210110211), we get a palindrome (13321311312331).

The spelling of 11201101202120 in words is "eleven trillion, two hundred one billion, one hundred one million, two hundred two thousand, one hundred twenty".