11120011012100 has 36 divisors (see below), whose sum is σ = 24220128132900. Its totient is φ = 4431469061760.

The previous prime is 11120011012049. The next prime is 11120011012147. The reversal of 11120011012100 is 121011002111.

It can be written as a sum of positive squares in 6 ways, for example, as 881150180416 + 10238860831684 = 938696^2 + 3199822^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 206664755 + ... + 206718554.

It is an arithmetic number, because the mean of its divisors is an integer number (672781337025).

Almost surely, 2^{11120011012100} is an apocalyptic number.

11120011012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11120011012100 is an abundant number, since it is smaller than the sum of its proper divisors (13100117120800).

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

11120011012100 is a wasteful number, since it uses less digits than its factorization.

11120011012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413383592 (or 413383585 counting only the distinct ones).

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

Adding to 11120011012100 its reverse (121011002111), we get a palindrome (11241022014211).

The spelling of 11120011012100 in words is "eleven trillion, one hundred twenty billion, eleven million, twelve thousand, one hundred".