11132243412100 has 36 divisors (see below), whose sum is σ = 24175536486948. Its totient is φ = 4449474640000.

The previous prime is 11132243412083. The next prime is 11132243412113. The reversal of 11132243412100 is 121434223111.

It can be written as a sum of positive squares in 6 ways, for example, as 4695915004036 + 6436328408064 = 2167006^2 + 2536992^2 .

It is a super-4 number, since 4×11132243412100⁴ (a number of 53 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42653311 + ... + 42913510.

It is an arithmetic number, because the mean of its divisors is an integer number (671542680193).

Almost surely, 2^{11132243412100} is an apocalyptic number.

11132243412100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11132243412100 is an abundant number, since it is smaller than the sum of its proper divisors (13043293074848).

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

11132243412100 is a wasteful number, since it uses less digits than its factorization.

11132243412100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85568136 (or 85568129 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 11132243412100 its reverse (121434223111), we get a palindrome (11253677635211).

The spelling of 11132243412100 in words is "eleven trillion, one hundred thirty-two billion, two hundred forty-three million, four hundred twelve thousand, one hundred".