11020121212100 has 432 divisors, whose sum is σ = 32788303289280. Its totient is φ = 3160234828800.

The previous prime is 11020121212073. The next prime is 11020121212151. The reversal of 11020121212100 is 121212102011.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 215089286 + ... + 215140514.

Almost surely, 2^{11020121212100} is an apocalyptic number.

11020121212100 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 11020121212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16394151644640).

11020121212100 is an abundant number, since it is smaller than the sum of its proper divisors (21768182077180).

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

11020121212100 is a wasteful number, since it uses less digits than its factorization.

11020121212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51588 (or 51574 counting only the distinct ones).

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

Adding to 11020121212100 its reverse (121212102011), we get a palindrome (11141333314111).

The spelling of 11020121212100 in words is "eleven trillion, twenty billion, one hundred twenty-one million, two hundred twelve thousand, one hundred".