11102111002120 has 16 divisors (see below), whose sum is σ = 24979749754860. Its totient is φ = 4440844400832.

The previous prime is 11102111002111. The next prime is 11102111002153. The reversal of 11102111002120 is 2120011120111.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 10159786503364 + 942324498756 = 3187442^2 + 970734^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 11102111002120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 138776387487 + ... + 138776387566.

Almost surely, 2^{11102111002120} is an apocalyptic number.

11102111002120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11102111002120 is an abundant number, since it is smaller than the sum of its proper divisors (13877638752740).

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

11102111002120 is a wasteful number, since it uses less digits than its factorization.

11102111002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277552775064 (or 277552775060 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 11102111002120 its reverse (2120011120111), we get a palindrome (13222122122231).

The spelling of 11102111002120 in words is "eleven trillion, one hundred two billion, one hundred eleven million, two thousand, one hundred twenty".