1121001110001 has 6 divisors (see below), whose sum is σ = 1619223825570. Its totient is φ = 747334073328.

The previous prime is 1121001109913. The next prime is 1121001110003. The reversal of 1121001110001 is 1000111001211.

It can be written as a sum of positive squares in only one way, i.e., 1103728842225 + 17272267776 = 1050585^2 + 131424^2 .

It is not a de Polignac number, because 1121001110001 - 2¹⁰ = 1121001108977 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 124555678889 = 1121001110001 / (1 + 1 + 2 + 1 + 0 + 0 + 1 + 1 + 1 + 0 + 0 + 0 + 1).

It is not an unprimeable number, because it can be changed into a prime (1121001110003) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 62277839436 + ... + 62277839453.

It is an arithmetic number, because the mean of its divisors is an integer number (269870637595).

Almost surely, 2^{1121001110001} is an apocalyptic number.

It is an amenable number.

1121001110001 is a deficient number, since it is larger than the sum of its proper divisors (498222715569).

1121001110001 is a wasteful number, since it uses less digits than its factorization.

1121001110001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124555678895 (or 124555678892 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 1121001110001 its reverse (1000111001211), we get a palindrome (2121112111212).

It can be divided in two parts, 11 and 21001110001, that added together give a palindrome (21001110012).

The spelling of 1121001110001 in words is "one trillion, one hundred twenty-one billion, one million, one hundred ten thousand, one".