11130012100 has 18 divisors (see below), whose sum is σ = 24152126474. Its totient is φ = 4452004800.

The previous prime is 11130012083. The next prime is 11130012169. The reversal of 11130012100 is 121003111.

It can be written as a sum of positive squares in 3 ways, for example, as 2715904 + 11127296196 = 1648^2 + 105486^2 .

It is a super-2 number, since 2×11130012100² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 55649961 + ... + 55650160.

Almost surely, 2^11130012100 is an apocalyptic number.

11130012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11130012100 is an abundant number, since it is smaller than the sum of its proper divisors (13022114374).

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

11130012100 is a wasteful number, since it uses less digits than its factorization.

11130012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111300135 (or 111300128 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 11130012100 its reverse (121003111), we get a palindrome (11251015211).

The spelling of 11130012100 in words is "eleven billion, one hundred thirty million, twelve thousand, one hundred".