11010211101120 has 448 divisors, whose sum is σ = 43602534014976. Its totient is φ = 2286825246720.

The previous prime is 11010211101119. The next prime is 11010211101179. The reversal of 11010211101120 is 2110111201011.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 11010211101096 and 11010211101105.

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, 173458509 + ... + 173521971.

Almost surely, 2^{11010211101120} is an apocalyptic number.

11010211101120 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 11010211101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21801267007488).

11010211101120 is an abundant number, since it is smaller than the sum of its proper divisors (32592322913856).

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

11010211101120 is a wasteful number, since it uses less digits than its factorization.

11010211101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65848 (or 65838 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 11010211101120 its reverse (2110111201011), we get a palindrome (13120322302131).

The spelling of 11010211101120 in words is "eleven trillion, ten billion, two hundred eleven million, one hundred one thousand, one hundred twenty".