11010211000120 has 128 divisors (see below), whose sum is σ = 27170095680000. Its totient is φ = 3999435858432.

The previous prime is 11010211000073. The next prime is 11010211000141. The reversal of 11010211000120 is 2100011201011.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 11010211000097 and 11010211000106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1266597 + ... + 4860523.

It is an arithmetic number, because the mean of its divisors is an integer number (212266372500).

Almost surely, 2^{11010211000120} is an apocalyptic number.

11010211000120 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 11010211000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13585047840000).

11010211000120 is an abundant number, since it is smaller than the sum of its proper divisors (16159884679880).

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

11010211000120 is a wasteful number, since it uses less digits than its factorization.

11010211000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3594125 (or 3594121 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 11010211000120 its reverse (2100011201011), we get a palindrome (13110222201131).

The spelling of 11010211000120 in words is "eleven trillion, ten billion, two hundred eleven million, one hundred twenty", and thus it is an aban number.