11135852900100 has 288 divisors, whose sum is σ = 37124262506240. Its totient is φ = 2861248250880.

The previous prime is 11135852900041. The next prime is 11135852900153. The reversal of 11135852900100 is 100925853111.

11135852900100 is a `hidden beast` number, since 1 + 1 + 1 + 358 + 5 + 290 + 0 + 10 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 9748584 + ... + 10830816.

Almost surely, 2^{11135852900100} is an apocalyptic number.

11135852900100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11135852900100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18562131253120).

11135852900100 is an abundant number, since it is smaller than the sum of its proper divisors (25988409606140).

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

11135852900100 is a wasteful number, since it uses less digits than its factorization.

11135852900100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1082396 (or 1082383 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 36.

The spelling of 11135852900100 in words is "eleven trillion, one hundred thirty-five billion, eight hundred fifty-two million, nine hundred thousand, one hundred".