1001121110001 has 12 divisors (see below), whose sum is σ = 1446091644660. Its totient is φ = 667401233760.

The previous prime is 1001121109999. The next prime is 1001121110051. The reversal of 1001121110001 is 1000111211001.

It can be written as a sum of positive squares in 2 ways, for example, as 227071310400 + 774049799601 = 476520^2 + 879801^2 .

It is not a de Polignac number, because 1001121110001 - 2¹ = 1001121109999 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (1001121110051) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 563530 + ... + 1523091.

It is an arithmetic number, because the mean of its divisors is an integer number (120507637055).

Almost surely, 2^{1001121110001} is an apocalyptic number.

It is an amenable number.

1001121110001 is a deficient number, since it is larger than the sum of its proper divisors (444970534659).

1001121110001 is a wasteful number, since it uses less digits than its factorization.

1001121110001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2139936 (or 2139933 counting only the distinct ones).

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

Adding to 1001121110001 its reverse (1000111211001), we get a palindrome (2001232321002).

The spelling of 1001121110001 in words is "one trillion, one billion, one hundred twenty-one million, one hundred ten thousand, one".