1135224170100 has 54 divisors (see below), whose sum is σ = 3558297095990. Its totient is φ = 302726445120.

The previous prime is 1135224170071. The next prime is 1135224170147. The reversal of 1135224170100 is 10714225311.

1135224170100 is a `hidden beast` number, since 1 + 1 + 352 + 241 + 70 + 1 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 63340808976 + 1071883361124 = 251676^2 + 1035318^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 630679195 + ... + 630680994.

Almost surely, 2^{1135224170100} is an apocalyptic number.

1135224170100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1135224170100 is an abundant number, since it is smaller than the sum of its proper divisors (2423072925890).

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

1135224170100 is a wasteful number, since it uses less digits than its factorization.

1135224170100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1261360209 (or 1261360199 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

Adding to 1135224170100 its reverse (10714225311), we get a palindrome (1145938395411).

The spelling of 1135224170100 in words is "one trillion, one hundred thirty-five billion, two hundred twenty-four million, one hundred seventy thousand, one hundred".