1121100001001 has 32 divisors (see below), whose sum is σ = 1155159207936. Its totient is φ = 1087672320000.

The previous prime is 1121100000919. The next prime is 1121100001003. The reversal of 1121100001001 is 1001000011211.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1121100001001 - 2¹⁴ = 1121099984617 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1121100001001.

It is not an unprimeable number, because it can be changed into a prime (1121100001003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1748985641 + ... + 1748986281.

It is an arithmetic number, because the mean of its divisors is an integer number (36098725248).

Almost surely, 2^{1121100001001} is an apocalyptic number.

It is an amenable number.

1121100001001 is a deficient number, since it is larger than the sum of its proper divisors (34059206935).

1121100001001 is a wasteful number, since it uses less digits than its factorization.

1121100001001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1793.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 1121100001001 its reverse (1001000011211), we get a palindrome (2122100012212).

The spelling of 1121100001001 in words is "one trillion, one hundred twenty-one billion, one hundred million, one thousand, one".