11135002340100 has 72 divisors (see below), whose sum is σ = 32605433431200. Its totient is φ = 2933558842880.

The previous prime is 11135002340087. The next prime is 11135002340107. The reversal of 11135002340100 is 104320053111.

It is a super-2 number, since 2×11135002340100² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11135002340107) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 223569525 + ... + 223619324.

It is an arithmetic number, because the mean of its divisors is an integer number (452853242100).

Almost surely, 2^{11135002340100} is an apocalyptic number.

11135002340100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11135002340100 is an abundant number, since it is smaller than the sum of its proper divisors (21470431091100).

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

11135002340100 is a wasteful number, since it uses less digits than its factorization.

11135002340100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447188949 (or 447188942 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

Adding to 11135002340100 its reverse (104320053111), we get a palindrome (11239322393211).

The spelling of 11135002340100 in words is "eleven trillion, one hundred thirty-five billion, two million, three hundred forty thousand, one hundred".