11132012112100 has 54 divisors (see below), whose sum is σ = 26552148918722. Its totient is φ = 4048004400000.

The previous prime is 11132012112071. The next prime is 11132012112127. The reversal of 11132012112100 is 121121023111.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 43791421696 + 11088220690404 = 209264^2 + 3329898^2 .

It is a super-2 number, since 2×11132012112100² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 459988401 + ... + 460012600.

Almost surely, 2^{11132012112100} is an apocalyptic number.

11132012112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11132012112100 is an abundant number, since it is smaller than the sum of its proper divisors (15420136806622).

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

11132012112100 is a wasteful number, since it uses less digits than its factorization.

11132012112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920001037 (or 920001019 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 11132012112100 its reverse (121121023111), we get a palindrome (11253133135211).

The spelling of 11132012112100 in words is "eleven trillion, one hundred thirty-two billion, twelve million, one hundred twelve thousand, one hundred".