1121101102201 has 8 divisors (see below), whose sum is σ = 1122102275400. Its totient is φ = 1120100378880.

The previous prime is 1121101102189. The next prime is 1121101102279. The reversal of 1121101102201 is 1022011011211.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 25384136976 + 1095716965225 = 159324^2 + 1046765^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1121101102201 - 2¹⁵ = 1121101069433 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1121101102501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4975971 + ... + 5196391.

It is an arithmetic number, because the mean of its divisors is an integer number (140262784425).

Almost surely, 2^{1121101102201} is an apocalyptic number.

It is an amenable number.

1121101102201 is a deficient number, since it is larger than the sum of its proper divisors (1001173199).

1121101102201 is a wasteful number, since it uses less digits than its factorization.

1121101102201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224939.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 1121101102201 its reverse (1022011011211), we get a palindrome (2143112113412).

The spelling of 1121101102201 in words is "one trillion, one hundred twenty-one billion, one hundred one million, one hundred two thousand, two hundred one".