11101102120010 has 96 divisors (see below), whose sum is σ = 23454821330640. Its totient is φ = 3771642513408.

The previous prime is 11101102120007. The next prime is 11101102120153. The reversal of 11101102120010 is 1002120110111.

11101102120010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 5371441263769 + 5729660856241 = 2317637^2 + 2393671^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11101102119973 and 11101102120000.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 316532756 + ... + 316567824.

Almost surely, 2^{11101102120010} is an apocalyptic number.

11101102120010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11101102120010 is an abundant number, since it is smaller than the sum of its proper divisors (12353719210630).

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

11101102120010 is a wasteful number, since it uses less digits than its factorization.

11101102120010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40920 (or 40913 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 11101102120010 its reverse (1002120110111), we get a palindrome (12103222230121).

The spelling of 11101102120010 in words is "eleven trillion, one hundred one billion, one hundred two million, one hundred twenty thousand, ten".