11201102121020 has 192 divisors, whose sum is σ = 30236976000000. Its totient is φ = 3392821334016.

The previous prime is 11201102121017. The next prime is 11201102121107. The reversal of 11201102121020 is 2012120110211.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 11201102120986 and 11201102121004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3792731 + ... + 6065229.

It is an arithmetic number, because the mean of its divisors is an integer number (157484250000).

Almost surely, 2^{11201102121020} is an apocalyptic number.

11201102121020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11201102121020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15118488000000).

11201102121020 is an abundant number, since it is smaller than the sum of its proper divisors (19035873878980).

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

11201102121020 is a wasteful number, since it uses less digits than its factorization.

11201102121020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2272660 (or 2272658 counting only the distinct ones).

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

Adding to 11201102121020 its reverse (2012120110211), we get a palindrome (13213222231231).

The spelling of 11201102121020 in words is "eleven trillion, two hundred one billion, one hundred two million, one hundred twenty-one thousand, twenty".