1001121011001 has 8 divisors (see below), whose sum is σ = 1483142238560. Its totient is φ = 667414007316.

The previous prime is 1001121010973. The next prime is 1001121011039. The reversal of 1001121011001 is 1001101211001.

It is not a de Polignac number, because 1001121011001 - 2⁹ = 1001121010489 is a prime.

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

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1001121015001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18539277955 + ... + 18539278008.

It is an arithmetic number, because the mean of its divisors is an integer number (185392779820).

Almost surely, 2^{1001121011001} is an apocalyptic number.

It is an amenable number.

1001121011001 is a deficient number, since it is larger than the sum of its proper divisors (482021227559).

1001121011001 is an equidigital number, since it uses as much as digits as its factorization.

1001121011001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37078555972 (or 37078555966 counting only the distinct ones).

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

Adding to 1001121011001 its reverse (1001101211001), we get a palindrome (2002222222002).

The spelling of 1001121011001 in words is "one trillion, one billion, one hundred twenty-one million, eleven thousand, one".