11111268100 has 81 divisors (see below), whose sum is σ = 24599133237. Its totient is φ = 4356384480.

The previous prime is 11111268061. The next prime is 11111268131. The reversal of 11111268100 is 186211111.

The square root of 11111268100 is 105410.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4000056516 + 7111211584 = 63246^2 + 84328^2 .

It is a super-2 number, since 2×11111268100² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 87490237 + ... + 87490363.

Almost surely, 2^11111268100 is an apocalyptic number.

11111268100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11111268100 is the 105410-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11111268100

11111268100 is an abundant number, since it is smaller than the sum of its proper divisors (13487865137).

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

11111268100 is an equidigital number, since it uses as much as digits as its factorization.

11111268100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 22.

Adding to 11111268100 its reverse (186211111), we get a palindrome (11297479211).

The spelling of 11111268100 in words is "eleven billion, one hundred eleven million, two hundred sixty-eight thousand, one hundred".