11122013100 has 144 divisors (see below), whose sum is σ = 35221245696. Its totient is φ = 2687328000.

The previous prime is 11122013093. The next prime is 11122013129. The reversal of 11122013100 is 131022111.

It is a super-2 number, since 2×11122013100² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1020882 + ... + 1031718.

It is an arithmetic number, because the mean of its divisors is an integer number (244591984).

Almost surely, 2^11122013100 is an apocalyptic number.

11122013100 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 11122013100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17610622848).

11122013100 is an abundant number, since it is smaller than the sum of its proper divisors (24099232596).

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

11122013100 is a wasteful number, since it uses less digits than its factorization.

11122013100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11176 (or 11169 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 11122013100 its reverse (131022111), we get a palindrome (11253035211).

The spelling of 11122013100 in words is "eleven billion, one hundred twenty-two million, thirteen thousand, one hundred".