11110001020100 has 72 divisors (see below), whose sum is σ = 24373631003400. Its totient is φ = 4395260416000.

The previous prime is 11110001020033. The next prime is 11110001020123. The reversal of 11110001020100 is 102010001111.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 519102958144 + 10590898061956 = 720488^2 + 3254366^2 .

11110001020100 is a modest number, since divided by 1020100 gives 111100 as remainder.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8790866 + ... + 9974934.

It is an arithmetic number, because the mean of its divisors is an integer number (338522652825).

Almost surely, 2^{11110001020100} is an apocalyptic number.

11110001020100 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 11110001020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12186815501700).

11110001020100 is an abundant number, since it is smaller than the sum of its proper divisors (13263629983300).

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

11110001020100 is a wasteful number, since it uses less digits than its factorization.

11110001020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1185113 (or 1185106 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 11110001020100 its reverse (102010001111), we get a palindrome (11212011021211).

The spelling of 11110001020100 in words is "eleven trillion, one hundred ten billion, one million, twenty thousand, one hundred".