11210202121120 has 96 divisors (see below), whose sum is σ = 26942932074240. Its totient is φ = 4406799022080.

The previous prime is 11210202121093. The next prime is 11210202121127. The reversal of 11210202121120 is 2112120201211.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 11210202121094 and 11210202121103.

It is not an unprimeable number, because it can be changed into a prime (11210202121127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1979301 + ... + 5132059.

It is an arithmetic number, because the mean of its divisors is an integer number (280655542440).

Almost surely, 2^{11210202121120} is an apocalyptic number.

11210202121120 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 11210202121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13471466037120).

11210202121120 is an abundant number, since it is smaller than the sum of its proper divisors (15732729953120).

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

11210202121120 is a wasteful number, since it uses less digits than its factorization.

11210202121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3153158 (or 3153150 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 11210202121120 its reverse (2112120201211), we get a palindrome (13322322322331).

The spelling of 11210202121120 in words is "eleven trillion, two hundred ten billion, two hundred two million, one hundred twenty-one thousand, one hundred twenty".