11201121100020 has 96 divisors (see below), whose sum is σ = 31546806076800. Its totient is φ = 2969476139520.

The previous prime is 11201121100003. The next prime is 11201121100073. The reversal of 11201121100020 is 2000112110211.

It is a super-2 number, since 2×11201121100020² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 11201121099969 and 11201121100005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 173303310 + ... + 173367930.

It is an arithmetic number, because the mean of its divisors is an integer number (328612563300).

Almost surely, 2^{11201121100020} is an apocalyptic number.

11201121100020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11201121100020 is an abundant number, since it is smaller than the sum of its proper divisors (20345684976780).

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

11201121100020 is a wasteful number, since it uses less digits than its factorization.

11201121100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81505 (or 81503 counting only the distinct ones).

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

Adding to 11201121100020 its reverse (2000112110211), we get a palindrome (13201233210231).

The spelling of 11201121100020 in words is "eleven trillion, two hundred one billion, one hundred twenty-one million, one hundred thousand, twenty".