11102101011120 has 640 divisors, whose sum is σ = 42363837112320. Its totient is φ = 2347298979840.

The previous prime is 11102101011073. The next prime is 11102101011139. The reversal of 11102101011120 is 2111010120111.

It is a super-2 number, since 2×11102101011120² (a number of 27 digits) contains 22 as substring.

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 = 11102101011096 and 11102101011105.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3594074536 + ... + 3594077624.

It is an arithmetic number, because the mean of its divisors is an integer number (66193495488).

Almost surely, 2^{11102101011120} is an apocalyptic number.

11102101011120 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 11102101011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21181918556160).

11102101011120 is an abundant number, since it is smaller than the sum of its proper divisors (31261736101200).

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

11102101011120 is a wasteful number, since it uses less digits than its factorization.

11102101011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5253 (or 5247 counting only the distinct ones).

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

Adding to 11102101011120 its reverse (2111010120111), we get a palindrome (13213111131231).

The spelling of 11102101011120 in words is "eleven trillion, one hundred two billion, one hundred one million, eleven thousand, one hundred twenty".