1166135200100 has 72 divisors (see below), whose sum is σ = 2728696055400. Its totient is φ = 430015610880.

The previous prime is 1166135200099. The next prime is 1166135200121. The reversal of 1166135200100 is 10025316611.

It can be written as a sum of positive squares in 12 ways, for example, as 1116737470564 + 49397729536 = 1056758^2 + 222256^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 1166135200100.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 424676 + ... + 1585124.

It is an arithmetic number, because the mean of its divisors is an integer number (37898556325).

Almost surely, 2^{1166135200100} is an apocalyptic number.

1166135200100 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 1166135200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1364348027700).

1166135200100 is an abundant number, since it is smaller than the sum of its proper divisors (1562560855300).

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

1166135200100 is a wasteful number, since it uses less digits than its factorization.

1166135200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1161249 (or 1161242 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 26.

The spelling of 1166135200100 in words is "one trillion, one hundred sixty-six billion, one hundred thirty-five million, two hundred thousand, one hundred".