11102100102120 has 256 divisors, whose sum is σ = 35617106004480. Its totient is φ = 2761603891200.

The previous prime is 11102100102103. The next prime is 11102100102157. The reversal of 11102100102120 is 2120100120111.

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 = 11102100102096 and 11102100102105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 285256902 + ... + 285295818.

It is an arithmetic number, because the mean of its divisors is an integer number (139129320330).

Almost surely, 2^{11102100102120} is an apocalyptic number.

11102100102120 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 11102100102120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17808553002240).

11102100102120 is an abundant number, since it is smaller than the sum of its proper divisors (24515005902360).

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

11102100102120 is a wasteful number, since it uses less digits than its factorization.

11102100102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41516 (or 41512 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11102100102120 its reverse (2120100120111), we get a palindrome (13222200222231).

The spelling of 11102100102120 in words is "eleven trillion, one hundred two billion, one hundred million, one hundred two thousand, one hundred twenty".