11011012110120 has 128 divisors (see below), whose sum is σ = 36104944458240. Its totient is φ = 2664232208640.

The previous prime is 11011012110113. The next prime is 11011012110157. The reversal of 11011012110120 is 2101121011011.

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 = 11011012110096 and 11011012110105.

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, 7284474 + ... + 8665193.

It is an arithmetic number, because the mean of its divisors is an integer number (282069878580).

Almost surely, 2^{11011012110120} is an apocalyptic number.

11011012110120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11011012110120 is an abundant number, since it is smaller than the sum of its proper divisors (25093932348120).

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

11011012110120 is a wasteful number, since it uses less digits than its factorization.

11011012110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15950215 (or 15950211 counting only the distinct ones).

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

Adding to 11011012110120 its reverse (2101121011011), we get a palindrome (13112133121131).

The spelling of 11011012110120 in words is "eleven trillion, eleven billion, twelve million, one hundred ten thousand, one hundred twenty".