1121101313202 has 96 divisors (see below), whose sum is σ = 2643021356976. Its totient is φ = 341381376000.

The previous prime is 1121101313197. The next prime is 1121101313231. The reversal of 1121101313202 is 2023131011211.

1121101313202 is a `hidden beast` number, since 1 + 1 + 211 + 0 + 131 + 320 + 2 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 172797344721 + 948303968481 = 415689^2 + 973809^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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 47 ways as a sum of consecutive naturals, for example, 57680878 + ... + 57700310.

Almost surely, 2^{1121101313202} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1121101313202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1321510678488).

1121101313202 is an abundant number, since it is smaller than the sum of its proper divisors (1521920043774).

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

1121101313202 is a wasteful number, since it uses less digits than its factorization.

1121101313202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21996 (or 21993 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 1121101313202 its reverse (2023131011211), we get a palindrome (3144232324413).

The spelling of 1121101313202 in words is "one trillion, one hundred twenty-one billion, one hundred one million, three hundred thirteen thousand, two hundred two".