11315862099100 has 216 divisors, whose sum is σ = 27388411112832. Its totient is φ = 4053932064000.

The previous prime is 11315862099077. The next prime is 11315862099131. The reversal of 11315862099100 is 199026851311.

11315862099100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 109680139 + ... + 109783261.

Almost surely, 2^{11315862099100} is an apocalyptic number.

11315862099100 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 11315862099100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13694205556416).

11315862099100 is an abundant number, since it is smaller than the sum of its proper divisors (16072549013732).

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

11315862099100 is a wasteful number, since it uses less digits than its factorization.

11315862099100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103357 (or 103337 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 46.

The spelling of 11315862099100 in words is "eleven trillion, three hundred fifteen billion, eight hundred sixty-two million, ninety-nine thousand, one hundred".