11357135122100 has 36 divisors (see below), whose sum is σ = 24772677470604. Its totient is φ = 4519315937280.

The previous prime is 11357135122057. The next prime is 11357135122103. The reversal of 11357135122100 is 122153175311.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 51428261284 + 11305706860816 = 226778^2 + 3362396^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11357135122103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 294206999 + ... + 294245598.

It is an arithmetic number, because the mean of its divisors is an integer number (688129929739).

Almost surely, 2^{11357135122100} is an apocalyptic number.

11357135122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11357135122100 is an abundant number, since it is smaller than the sum of its proper divisors (13415542348504).

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

11357135122100 is a wasteful number, since it uses less digits than its factorization.

11357135122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588452804 (or 588452797 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 32.

Adding to 11357135122100 its reverse (122153175311), we get a palindrome (11479288297411).

The spelling of 11357135122100 in words is "eleven trillion, three hundred fifty-seven billion, one hundred thirty-five million, one hundred twenty-two thousand, one hundred".