11112257100 has 288 divisors, whose sum is σ = 37552596480. Its totient is φ = 2484725760.

The previous prime is 11112257087. The next prime is 11112257113. The reversal of 11112257100 is 175221111.

11112257100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11112257087) and next prime (11112257113).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26520691 + ... + 26521109.

It is an arithmetic number, because the mean of its divisors is an integer number (130390960).

Almost surely, 2^11112257100 is an apocalyptic number.

11112257100 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 11112257100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18776298240).

11112257100 is an abundant number, since it is smaller than the sum of its proper divisors (26440339380).

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

11112257100 is a wasteful number, since it uses less digits than its factorization.

11112257100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 21.

Adding to 11112257100 its reverse (175221111), we get a palindrome (11287478211).

The spelling of 11112257100 in words is "eleven billion, one hundred twelve million, two hundred fifty-seven thousand, one hundred".