11010212102120 has 1024 divisors, whose sum is σ = 34557788160000. Its totient is φ = 3053521981440.

The previous prime is 11010212102117. The next prime is 11010212102179. The reversal of 11010212102120 is 2120121201011.

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 = 11010212102095 and 11010212102104.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 17787095171 + ... + 17787095789.

It is an arithmetic number, because the mean of its divisors is an integer number (33747840000).

Almost surely, 2^{11010212102120} is an apocalyptic number.

11010212102120 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 11010212102120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17278894080000).

11010212102120 is an abundant number, since it is smaller than the sum of its proper divisors (23547576057880).

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

11010212102120 is a wasteful number, since it uses less digits than its factorization.

11010212102120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 966 (or 962 counting only the distinct ones).

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

Adding to 11010212102120 its reverse (2120121201011), we get a palindrome (13130333303131).

The spelling of 11010212102120 in words is "eleven trillion, ten billion, two hundred twelve million, one hundred two thousand, one hundred twenty".