1121010001141 has 32 divisors (see below), whose sum is σ = 1263479938560. Its totient is φ = 988936126464.

The previous prime is 1121010001117. The next prime is 1121010001147. The reversal of 1121010001141 is 1411000101211.

It is a cyclic number.

It is not a de Polignac number, because 1121010001141 - 2¹¹ = 1121009999093 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1121010001147) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 17022165 + ... + 17087893.

It is an arithmetic number, because the mean of its divisors is an integer number (39483748080).

Almost surely, 2^{1121010001141} is an apocalyptic number.

It is an amenable number.

1121010001141 is a deficient number, since it is larger than the sum of its proper divisors (142469937419).

1121010001141 is a wasteful number, since it uses less digits than its factorization.

1121010001141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66645.

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

Adding to 1121010001141 its reverse (1411000101211), we get a palindrome (2532010102352).

The spelling of 1121010001141 in words is "one trillion, one hundred twenty-one billion, ten million, one thousand, one hundred forty-one".